Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.6s (26.3%)

Results

2.1s	3995×	body	1024	valid
1.9s	2104×	body	2048	valid
476.0ms	1343×	body	512	valid
141.0ms	812×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

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

42.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (0.6%)

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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simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval105.0ms (0.6%)

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

prune115.0ms (0.7%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	244	42	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	244	43	287

Error

0.2b

Counts

287 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	48.7b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	42.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	42.5b	(/.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)))))
	42.5b	(/.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)))
	42.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	24.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶	31.6b	(-.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)))
	42.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.7b	(-.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))
	24.5b	(-.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))
	24.5b	(-.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))
	24.4b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	55.3b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
▶	43.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.4b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	24.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	42.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	42.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.2b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	42.5b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	42.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	42.4b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	55.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	42.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	42.5b	(-.f64 (cos.f64 eps) 1)
	42.5b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	44.0b	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
▶	9.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.4b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	31.5b	(+.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))))))
	43.5b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	34.3b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	40.1b	(*.f64 (neg.f64 eps) (sin.f64 x))
	42.6b	(.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)))))))
	18.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	42.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	42.5b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	42.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.0b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	55.6b	(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	42.5b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1439 to 896 computations (37.7% saved)

localize24.0ms (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)))
✓	3.1b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series9.0ms (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)))
1.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite155.0ms (0.9%)

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 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify185.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.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)

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify51.0ms (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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
✓	0.1b	(*.f64 x (sin.f64 eps))
✓	3.3b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite124.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-*r/`
954×	`associate-*l/`
940×	`distribute-lft-in`
344×	`associate-+l+`
276×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	241	59
2	3379	59

Stop Event

1×	node limit

Counts

3 → 311

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (-.f64 0 (fma.f64 x (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (neg.f64 (fma.f64 x (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 x (neg.f64 (sin.f64 eps))) 1) (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

940×	`associate-r`
790×	`+-commutative`
784×	`associate-+l+`
780×	`associate-l`
762×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	788	24989
1	2312	24645

Stop Event

1×	node limit

Counts

375 → 482

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
✓	0.5b	(expm1.f64 (cos.f64 (+.f64 x eps)))
	3.1b	(cos.f64 (+.f64 x eps))
✓	7.2b	(-.f64 (log1p.f64 (expm1.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
1.0ms	x	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	-inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	-inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
866×	`associate-*r/`
700×	`distribute-lft-in`
684×	`distribute-rgt-in`
674×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	239	47
2	3103	47

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(expm1.f64 (cos.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))

Outputs

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

simplify147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-+r-`
1066×	`fma-def`
724×	`associate-r`
618×	`associate-l`
530×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	12355
1	1550	11797
2	7142	11797

Stop Event

1×	node limit

Counts

255 → 339

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	0.3b	(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))
✓	2.4b	(*.f64 (sin.f64 x) (pow.f64 eps 3))
✓	5.5b	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

Compiler

Compiled 77 to 36 computations (53.2% saved)

series43.0ms (0.2%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
2.0ms	x	@	-inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
0.0ms	x	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`unswap-sqr`
1084×	`swap-sqr`
434×	`distribute-rgt-in`
376×	`distribute-lft-in`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	368	98
2	4237	98

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

Outputs
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(.f64 eps -1/2))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) 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(sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 eps (.f64 eps -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))))))

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1516×	`distribute-rgt-in`
1516×	`distribute-lft-in`
636×	`associate-r`
522×	`associate-l`
354×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	6032
1	725	6008
2	2935	5770

Stop Event

1×	node limit

Counts

160 → 162

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (pow.f64 eps 3) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 eps 3) x))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)))
(+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1))
(+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))
(+.f64 (.f64 1 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) 1) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (-.f64 1 (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) 1)
(.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))) 1)
(.f64 1 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3)) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 eps eps) (cos.f64 x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3))) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) (.f64 1/2 (.f64 (.f64 eps eps) (cos.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3)) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) 1)
(pow.f64 (*.f64 (sin.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 -1/2 (*.f64 eps eps)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 1/4 (.f64 (.f64 eps eps) (.f64 x x)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 (.f64 eps eps) (.f64 (.f64 x x) 1/4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (.f64 x x) 1/4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (fma.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (fma.f64 1/4 (.f64 eps (.f64 eps (.f64 x x))) (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/36)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (.f64 x x) 1/4))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 1/6) (*.f64 (pow.f64 x 3) -1/36))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
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(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))
(*.f64 eps (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))

eval738.0ms (4.2%)

Compiler: Compiled 48738 to 16332 computations (66.5% saved)

prune614.0ms (3.5%)

Pruning

63 alts after pruning (60 fresh and 3 done)

	Pruned	Kept	Total
New	1707	49	1756
Fresh	26	11	37
Picked	1	0	1
Done	2	3	5
Total	1736	63	1799

Error

0.1b

Counts

1799 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	49.5b	(fma.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (sqrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (neg.f64 (cos.f64 x)))
	47.8b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	42.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	42.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	42.6b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	34.3b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	34.4b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	44.1b	(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) 2) (pow.f64 (cos.f64 x) 2))))))
	42.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	31.9b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3))
	42.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.7b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.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 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	33.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	9.3b	(-.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) -1) (*.f64 x (sin.f64 eps)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	57.8b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.4b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	24.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	31.8b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	42.4b	(-.f64 (log1p.f64 (-.f64 (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2) 2)) (cos.f64 x))
	42.0b	(-.f64 (log1p.f64 (-.f64 (exp.f64 (cos.f64 eps)) 1)) (cos.f64 x))
✓	42.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	42.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	42.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	42.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.5b	(-.f64 (cos.f64 eps) 1)
	54.3b	(-.f64 1 (cos.f64 x))
▶	31.5b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.5b	(+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.1b	(+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	14.9b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	43.5b	(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) -1)
	25.7b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.6b	(+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(+.f64 (+.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 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	10.5b	(+.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)))
	21.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	9.3b	(+.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)))))
	24.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	13.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	38.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.3b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	9.2b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	44.2b	(+.f64 -1 (+.f64 (.f64 (.f64 1/2 x) x) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))))
	34.3b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	40.1b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	47.7b	(.f64 -1/2 (.f64 eps eps))
▶	18.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	42.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
▶	42.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	42.5b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	42.6b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2190 to 1445 computations (34% saved)

localize28.0ms (0.2%)

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)))
✓	3.0b	(+.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))))

rewrite115.0ms (0.7%)

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)))))))

simplify148.0ms (0.8%)

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))

localize4.0ms (0%)

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	@	inf	(.f64 -1/2 (.f64 eps eps))
0.0ms	eps	@	0	(.f64 -1/2 (.f64 eps eps))
0.0ms	eps	@	-inf	(.f64 -1/2 (.f64 eps eps))

rewrite49.0ms (0.3%)

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))))))))

simplify60.0ms (0.3%)

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))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2))
✓	0.0b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
✓	0.3b	(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))
✓	3.1b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 88 to 34 computations (61.4% saved)

series7.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`associate-*l/`
1076×	`*-commutative`
398×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
384×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	393	62
2	5797	62

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1056×	`distribute-rgt-in`
1054×	`distribute-lft-in`
634×	`associate-+r+`
614×	`associate-r`
574×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5224
1	734	4744
2	3140	4386

Stop Event

1×	node limit

Counts

184 → 192

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 1/2 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 1/2 (*.f64 eps (sin.f64 x))))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 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 -1/2 (.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))))
(*.f64 1/2 eps)
(+.f64 (.f64 -1/48 (pow.f64 eps 3)) (.f64 1/2 eps))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (+.f64 (.f64 -1/645120 (pow.f64 eps 7)) (.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(.f64 (sin.f64 (.f64 eps 1/2)) 1)
(.f64 1 (sin.f64 (.f64 eps 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(fabs.f64 (sin.f64 (*.f64 eps 1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 eps 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 eps) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) -2)
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) 1/2) (+.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (cos.f64 eps) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))) 1)
(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) -2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2) -2)
(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) 2)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 1)
(pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(.f64 (sin.f64 (.f64 eps 1/2)) 1)
(.f64 1 (sin.f64 (.f64 eps 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(fabs.f64 (sin.f64 (*.f64 eps 1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	2.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	2.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	3.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`associate-*r/`
932×	`distribute-rgt-in`
922×	`associate-*l/`
900×	`distribute-lft-in`
340×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	243	46
2	3328	46

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

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

Outputs

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

simplify185.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate--r+`
868×	`fma-def`
650×	`+-commutative`
608×	`associate-+l+`
592×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	14863
1	1744	13959
2	7481	13959

Stop Event

1×	node limit

Counts

275 → 384

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

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (pow.f64 eps 4))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.3b	(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
✓	13.3b	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))

Compiler

Compiled 85 to 38 computations (55.3% saved)

series4.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
1.0ms	x	@	0	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
1.0ms	x	@	-inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
0.0ms	eps	@	0	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
0.0ms	eps	@	inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`unswap-sqr`
926×	`swap-sqr`
538×	`sqr-pow`
516×	`pow-sqr`
382×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	87
1	326	87
2	3726	81

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (cos.f64 x) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (*.f64 (cos.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3) (pow.f64 eps 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))))

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1626×	`distribute-lft-in`
1622×	`distribute-rgt-in`
658×	`associate-/l*`
498×	`associate-+r+`
496×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	5431
1	702	5357
2	2806	5311

Stop Event

1×	node limit

Counts

131 → 146

Calls

Call 1

Inputs
(+.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 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(+.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 -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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.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 -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 1/24 (.f64 (pow.f64 eps 4) (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 -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 1/24 (.f64 (pow.f64 eps 4) (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 -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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(pow.f64 eps 4)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (pow.f64 eps 4))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (pow.f64 eps 4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 4) (pow.f64 x 6))) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
(+.f64 (.f64 1 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) 1) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))) (-.f64 1 (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))))) 1)
(.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps eps) -1/2)))
(.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 1)
(.f64 1 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 3/2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3) 1/6) (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3) 1/6))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps eps) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4))) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3))) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) 1) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) 1) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4) (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) (-.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 2))
(log.f64 (exp.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))) 1)
(pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 1)
(pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (*.f64 (cos.f64 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3))
(cbrt.f64 (.f64 (pow.f64 eps 6) (pow.f64 (.f64 (cos.f64 x) -1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) -1/2) 3) (pow.f64 eps 6)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))

Outputs
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (.f64 eps eps) 1/4 (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (.f64 eps (*.f64 eps -1/2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 (.f64 1/4 eps) eps)) (.f64 x x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/48)) (pow.f64 x 4) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (.f64 eps eps) 1/4 (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 (*.f64 -1/48 eps) eps)) (pow.f64 x 4)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 (.f64 1/4 eps) eps)) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 1/1440 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/17280)) (pow.f64 x 6) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/48)) (pow.f64 x 4) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/17280 (.f64 (.f64 1/1440 eps) eps)) (pow.f64 x 6) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (.f64 eps eps) 1/4 (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 (*.f64 -1/48 eps) eps)) (pow.f64 x 4))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (.f64 eps eps) 1/1440 (.f64 (pow.f64 eps 4) -1/17280)) (pow.f64 x 6) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 (.f64 1/4 eps) eps)) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
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(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))) 1)
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 1)
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 2)
(pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))) 3)
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3) 1/3)
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(sqrt.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4))
(sqrt.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (*.f64 (cos.f64 x) -1/2)))
(.f64 (.f64 -1/2 (cos.f64 x)) (log.f64 (pow.f64 (exp.f64 eps) eps)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (*.f64 -1/2 (cos.f64 x))))
(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps (log.f64 (exp.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))) 3))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(cbrt.f64 (.f64 (pow.f64 eps 6) (pow.f64 (.f64 (cos.f64 x) -1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) -1/2) 3) (pow.f64 eps 6)))
(cbrt.f64 (.f64 (pow.f64 eps 6) (.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) 1))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(.f64 (.f64 eps (*.f64 eps -1/2)) (cos.f64 x))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 eps -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (.f64 eps (.f64 eps (sqrt.f64 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))

eval821.0ms (4.7%)

Compiler: Compiled 43905 to 18803 computations (57.2% saved)

prune655.0ms (3.7%)

Pruning

74 alts after pruning (71 fresh and 3 done)

	Pruned	Kept	Total
New	1530	39	1569
Fresh	23	32	55
Picked	1	0	1
Done	4	3	7
Total	1558	74	1632

Error

0.0b

Counts

1632 → 74

Alt Table

Click to see full alt table

Status	Error	Program
	47.8b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	42.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	42.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	34.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
	42.6b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	34.3b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	34.4b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	42.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	31.9b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3))
	42.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	33.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
▶	9.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.5b	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))) 1)
	40.4b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	55.7b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	9.2b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) eps))
	24.4b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	24.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	31.8b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	42.0b	(-.f64 (log1p.f64 (-.f64 (exp.f64 (cos.f64 eps)) 1)) (cos.f64 x))
✓	42.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	42.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	42.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	42.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.5b	(-.f64 (cos.f64 eps) 1)
	54.3b	(-.f64 1 (cos.f64 x))
	9.2b	(+.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.9b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
▶	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	1.1b	(+.f64 (/.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 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	14.9b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	43.5b	(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) -1)
	25.7b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.3b	(+.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.5b	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.5b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	10.4b	(+.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)))
	21.4b	(+.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))))
	9.2b	(+.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)))))
	40.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	34.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
	9.3b	(+.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.3b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.4b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	44.0b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
▶	44.2b	(+.f64 -1 (+.f64 (.f64 (.f64 1/2 x) x) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))))
	40.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	47.7b	(.f64 eps (.f64 -1/2 eps))
	34.8b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 3))
	34.3b	(.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))
	31.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))))
	38.7b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 x)))
	42.6b	(.f64 -2 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)))))
	42.6b	(.f64 -2 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
	54.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.5b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	57.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	42.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
▶	42.0b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	42.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
	55.9b	(log.f64 1)
	61.7b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	42.6b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2152 to 1589 computations (26.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	0.4b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 69 to 30 computations (56.5% saved)

series35.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
4.0ms	eps	@	0	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
1.0ms	x	@	inf	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
1.0ms	eps	@	inf	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
1.0ms	eps	@	-inf	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-/r/`
848×	`associate-/l/`
560×	`distribute-rgt-in`
522×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	304	43
2	4087	43

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-r`
974×	`times-frac`
856×	`associate-l`
842×	`associate-/l*`
708×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	8074
1	1626	7460

Stop Event

1×	node limit

Counts

216 → 274

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(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 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (cos.f64 x) 1))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 1 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) -1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 (cos.f64 eps) 1))) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (/.f64 1 (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (/.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (-.f64 (neg.f64 (cos.f64 eps)) -1))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) 1) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1 (cos.f64 eps))) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(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 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.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 (.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 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4)))))))
(-.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (cos.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (fma.f64 -1 (.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -1/630) (fma.f64 -1/2880 (cos.f64 x) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4))) (.f64 (.f64 (cos.f64 x) -1/24) 1/48))))) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (*.f64 (cos.f64 x) -1/24) -1/4))))))))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (fma.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -5/4032) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)) (.f64 (cos.f64 x) -1/1152))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)))))) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (cos.f64 x))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 (.f64 -1/24 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4))) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 1/720 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 6)))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (fma.f64 -1/24 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (pow.f64 x 4)) (/.f64 (.f64 (*.f64 1/720 (pow.f64 (sin.f64 eps) 2)) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
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(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (/.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (/.f64 -1 (cos.f64 x)) 3) (pow.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) 3))) (+.f64 (.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (cos.f64 x))) (.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (/.f64 1 (cos.f64 x)) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (cos.f64 x)) (.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))))) (-.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) 3)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) 3)) (fma.f64 (/.f64 (cos.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (cos.f64 x)))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1)) (.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))) (cos.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (cos.f64 x) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(.f64 (/.f64 1 (/.f64 (-.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) -1) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (cos.f64 x) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 1 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) -1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 (cos.f64 eps) 1))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (/.f64 1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (/.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (cos.f64 x) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (cos.f64 x) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (cos.f64 x) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (-.f64 (neg.f64 (cos.f64 eps)) -1))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (cos.f64 x) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(.f64 (cos.f64 x) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) 1) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(.f64 (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))
(.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (neg.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1 (cos.f64 eps))) (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))

localize5.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 1/2 x) x) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	0.0b	(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
	0.1b	(*.f64 x (sin.f64 eps))
✓	3.2b	(+.f64 -1 (+.f64 (.f64 (.f64 1/2 x) x) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))))

Compiler

Compiled 57 to 23 computations (59.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`associate-*r/`
1450×	`associate-*l/`
428×	`associate-+l+`
366×	`associate-+r+`
350×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	335	76
2	4561	76

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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simplify186.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1132×	`+-commutative`
1024×	`associate--r+`
834×	`associate-/r*`
698×	`associate--l+`
572×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	16016
1	1289	14854
2	5120	14728

Stop Event

1×	node limit

Counts

204 → 284

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

Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 1/2 (.f64 x x) (.f64 x (neg.f64 (sin.f64 eps))))
(.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 1/2 (.f64 x x) (.f64 x (neg.f64 (sin.f64 eps))))
(.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))) 1)
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1 (.f64 eps x) (.f64 1/2 (*.f64 x x)))
(.f64 x (+.f64 (neg.f64 eps) (.f64 x 1/2)))
(.f64 x (+.f64 (.f64 x 1/2) (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/2 (.f64 x x))))
(-.f64 (fma.f64 1/2 (.f64 x x) (.f64 eps (.f64 eps -1/2))) (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 x (pow.f64 eps 3)) (.f64 1/2 (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 x (+.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 x 1/2)))) (*.f64 eps x))
(-.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 x (+.f64 (.f64 x 1/2) (.f64 1/6 (pow.f64 eps 3))))) (*.f64 eps x))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (.f64 1/2 (pow.f64 x 2))) (+.f64 1 (.f64 (sin.f64 eps) x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 x (sin.f64 eps) 1))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 1/2 (.f64 x x) (.f64 x (neg.f64 (sin.f64 eps))))
(.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 1/2 (.f64 x x) (.f64 x (neg.f64 (sin.f64 eps))))
(.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (*.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1 (.f64 eps x) (+.f64 1 (.f64 1/2 (*.f64 x x))))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 eps)) (.f64 1/2 (*.f64 x x))))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (.f64 1/2 (.f64 x x))))))) (cbrt.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))) 2) (cbrt.f64 (fma.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (.f64 x 1/2)))) (.f64 (pow.f64 x 4) 1/4)))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2))) (/.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (pow.f64 (.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 4) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 4)) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2)) (/.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 x x)) (cos.f64 eps)) (*.f64 x (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 4)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 2)) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 4)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 2)) (-.f64 (.f64 x (+.f64 (sin.f64 eps) (.f64 x 1/2))) (cos.f64 eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) 3)) (/.f64 1 (-.f64 (.f64 1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (+.f64 (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2)) (.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) 2)))))
(/.f64 (.f64 (/.f64 1 (+.f64 (-.f64 (.f64 1/2 (.f64 x x)) (cos.f64 eps)) (.f64 x (sin.f64 eps)))) (-.f64 (pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) 3))) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 4) (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 6)) (-.f64 (.f64 x (.f64 x 1/2)) (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) (+.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 4) (fma.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 2) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 4))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 6)) (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/2)) 4) (fma.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 2) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 4))) (-.f64 (.f64 x (+.f64 (sin.f64 eps) (*.f64 x 1/2))) (cos.f64 eps))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 eps)) (.f64 1/2 (.f64 x x)))))))) (-.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) 3)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 6)) 1) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (.f64 1/2 (.f64 x x))))))) (-.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) 3)))
(/.f64 (-.f64 (.f64 1/64 (pow.f64 (.f64 x x) 6)) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 6)) (.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 3)) (fma.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (.f64 x 1/2)))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (/.f64 (-.f64 (.f64 1/64 (pow.f64 (.f64 x x) 6)) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 6)) (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 3))) (fma.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (.f64 x 1/2)))) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) 3) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (+.f64 (.f64 x (sin.f64 eps)) (.f64 1/2 (.f64 x x)))))))) (+.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (.f64 1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3)) (.f64 (.f64 1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) 3)))))
(/.f64 (+.f64 (.f64 1/512 (pow.f64 (pow.f64 (.f64 x x) 3) 3)) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3) 3)) (/.f64 (-.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 6)) (.f64 (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))) (/.f64 1 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) (.f64 1/2 (.f64 x x)))))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 3) 3)) (.f64 (+.f64 (fma.f64 1/64 (pow.f64 (.f64 x x) 6) (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 6)) (.f64 (pow.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) 3) (.f64 (pow.f64 x 6) -1/8))) (fma.f64 (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (-.f64 (cos.f64 eps) (.f64 x (+.f64 (sin.f64 eps) (.f64 x 1/2)))) (*.f64 (pow.f64 x 4) 1/4))))
(pow.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps))) 1)
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))) 2)
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))) 3)
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps))) 3) 1/3)
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps))) 2))
(fabs.f64 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps))))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps))) 3))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))) 1))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 1/2 (.f64 x x) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 x (.f64 1/2 x) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 (.f64 1/2 x) x (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 1 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (.f64 1/2 (*.f64 x x)))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (sqrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (.f64 1/2 (.f64 x x)))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (fma.f64 x (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) 2) (cbrt.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (.f64 1/2 (.f64 x x)))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 2) (cbrt.f64 (.f64 1/2 (.f64 x x))) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (fma.f64 1/2 (.f64 x x) (cos.f64 eps)) (.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
✓	3.6b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	3.7b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

18 calls:

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

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`*-commutative`
682×	`unswap-sqr`
564×	`associate-*r/`
528×	`swap-sqr`
494×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	207	49
2	2625	49

Stop Event

1×	node limit

Counts

3 → 333

Calls

Call 1

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

Outputs

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

simplify200.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-+l-`
1180×	`associate-+r-`
678×	`fma-def`
530×	`associate-r`
482×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	18983
1	1450	17983
2	6296	17963

Stop Event

1×	node limit

Counts

373 → 338

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	3.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

24 calls:

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

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-*r/`
1440×	`associate-*l/`
462×	`associate-+l+`
338×	`+-commutative`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	295	92
2	4310	72

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

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

simplify177.0ms (1%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
846×	`+-commutative`
822×	`associate-l`
688×	`associate-+r+`
528×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	23178
1	2247	21630

Stop Event

1×	node limit

Counts

368 → 507

Calls

Call 1

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

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

eval688.0ms (3.9%)

Compiler: Compiled 49891 to 19312 computations (61.3% saved)

prune550.0ms (3.1%)

Pruning

83 alts after pruning (76 fresh and 7 done)

	Pruned	Kept	Total
New	1662	30	1692
Fresh	20	46	66
Picked	0	1	1
Done	1	6	7
Total	1683	83	1766

Error

0.0b

Counts

1766 → 83

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.3b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	47.8b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	55.5b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2)
	42.2b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	42.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	34.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
	21.6b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
	42.6b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	34.3b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	34.4b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	42.0b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	9.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	42.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	9.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
✓	9.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	37.7b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	38.0b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	25.7b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	11.1b	(-.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.1b	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 eps)))) 1)
	40.4b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	55.7b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	9.2b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.5b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) eps))
	31.5b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.4b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	24.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	31.3b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	31.8b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
✓	42.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	9.3b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	47.6b	(-.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) 1)
	42.0b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) (+.f64 (cos.f64 x) 1))
✓	42.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	42.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	42.5b	(-.f64 (cos.f64 eps) 1)
	9.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
	54.3b	(-.f64 1 (cos.f64 x))
	9.2b	(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	1.2b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 3) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	2.0b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
✓	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.4b	(+.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	43.5b	(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) -1)
	9.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	10.4b	(+.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)))
	21.4b	(+.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))))
	9.2b	(+.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)))))
	40.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	34.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
	9.3b	(+.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.2b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	44.0b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
	56.7b	(+.f64 -1 (+.f64 (.f64 (.f64 1/2 x) x) (+.f64 (.f64 -1 (.f64 eps x)) 1)))
	56.6b	(+.f64 -1 (+.f64 (.f64 (.f64 1/2 x) x) 1))
	44.2b	(+.f64 -1 (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x 1/2) (sin.f64 eps)))))
	35.4b	(.f64 (.f64 (sin.f64 (.f64 (-.f64 eps x) 1/2)) (sin.f64 (.f64 (+.f64 eps x) 1/2))) -2)
	40.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
	57.9b	(.f64 x (+.f64 (.f64 x 1/2) (neg.f64 eps)))
	57.9b	(.f64 x (.f64 x 1/2))
✓	47.7b	(.f64 eps (.f64 -1/2 eps))
	34.8b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 3))
	34.3b	(.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))
	31.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))))
	38.7b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 x)))
	42.6b	(.f64 -2 (log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
	54.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.5b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	57.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	42.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
✓	42.0b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	42.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
	55.9b	(log.f64 1)
	61.7b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	42.1b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	42.6b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1200 to 877 computations (26.9% saved)

regimes246.0ms (1.4%)

Counts

161 → 1

Calls

Call 1

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

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

Calls

3 calls:

76.0ms	x
73.0ms	eps
45.0ms	(-.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 2519 to 981 computations (61.1% saved)

regimes389.0ms (2.2%)

Counts

125 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

151.0ms	x
146.0ms	eps
59.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`eps`
9.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1490 to 616 computations (58.7% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.00042386457466236287	0.02939502759025152
26.0ms	-0.005617116069977024	-0.00023125530939353267

Results

20.0ms	53×	body	1024	valid
19.0ms	141×	body	256	valid
5.0ms	22×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 567 to 409 computations (27.9% saved)

regimes554.0ms (3.2%)

Counts

111 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

304.0ms	eps
167.0ms	x
53.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	3	`eps`
9.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1269 to 544 computations (57.1% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.00042386457466236287	0.02939502759025152
28.0ms	-0.005617116069977024	-0.00023125530939353267

Results

22.0ms	58×	body	1024	valid
20.0ms	140×	body	256	valid
6.0ms	25×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 560 to 416 computations (25.7% saved)

regimes388.0ms (2.2%)

Counts

98 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

188.0ms	eps
123.0ms	x
49.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.7b	3	`eps`
9.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1037 to 465 computations (55.2% saved)

bsearch106.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	4.3766139827737983e-10	0.0005117082603253445
59.0ms	-282.99765488540964	-3.0192304633680674e-10

Results

64.0ms	148×	body	1024	valid
17.0ms	70×	body	512	valid
10.0ms	74×	body	256	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 793 to 599 computations (24.5% saved)

regimes137.0ms (0.8%)

Counts

93 → 1

Calls

Call 1

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

42.0ms	eps
41.0ms	x
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
18.2b	1	`x`
18.2b	1	`eps`
18.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 959 to 437 computations (54.4% saved)

regimes131.0ms (0.7%)

Counts

32 → 3

Calls

Call 1

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

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:

62.0ms	x
43.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.6b	4	`x`
17.7b	3	`eps`
18.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 290 to 149 computations (48.6% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.5083280922541175e-5	0.00042386457466236287
7.0ms	-0.006486336558558302	-0.005617116069977024

Results

14.0ms	103×	body	256	valid
10.0ms	25×	body	1024	valid
3.0ms	14×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 230 to 163 computations (29.1% saved)

regimes117.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	x
40.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.6b	4	`x`
17.9b	3	`eps`
19.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 234 to 124 computations (47% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.5083280922541175e-5	0.00042386457466236287
8.0ms	-0.006486336558558302	-0.005617116069977024

Results

14.0ms	36×	body	1024	valid
11.0ms	83×	body	256	valid
5.0ms	20×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 203 to 145 computations (28.6% saved)

regimes59.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
23.0ms	eps

Results

Error	Segments	Branch
28.2b	5	`x`
18.6b	3	`eps`

Compiler

Compiled 94 to 59 computations (37.2% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.5083280922541175e-5	0.00042386457466236287
8.0ms	-0.006486336558558302	-0.005617116069977024

Results

18.0ms	47×	body	1024	valid
10.0ms	72×	body	256	valid
6.0ms	23×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 194 to 145 computations (25.3% saved)

regimes224.0ms (1.3%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

2 calls:

189.0ms	eps
32.0ms	x

Results

Error	Segments	Branch
28.3b	5	`x`
22.9b	6	`eps`

Compiler

Compiled 84 to 55 computations (34.5% saved)

bsearch351.0ms (2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
26.0ms	1.5083280922541175e-5	0.00042386457466236287
88.0ms	3.2967782592283413e-51	2.154259040346941e-48
99.0ms	7.85288064938437e-145	1.5272640297824733e-132
132.0ms	6.435724457055755e-164	2.6485524600162186e-158
7.0ms	-0.006486336558558302	-0.005617116069977024

Results

139.0ms	237×	body	1024	valid
130.0ms	158×	body	2048	valid
61.0ms	78×	body	512	valid
14.0ms	103×	body	256	valid

Compiler

Compiled 581 to 442 computations (23.9% saved)

regimes83.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	x
19.0ms	eps

Results

Error	Segments	Branch
40.4b	3	`x`
34.5b	3	`eps`

Compiler

Compiled 74 to 52 computations (29.7% saved)

bsearch42.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.5083280922541175e-5	0.00042386457466236287
6.0ms	-0.006486336558558302	-0.005617116069977024

Results

17.0ms	41×	body	1024	valid
16.0ms	81×	body	256	valid
5.0ms	19×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 149 to 118 computations (20.8% saved)

regimes36.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
46.5b	2	`x`
45.7b	3	`eps`

Compiler

Compiled 70 to 49 computations (30% saved)

bsearch91.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	299607538.68905663	12036096624.604116
29.0ms	-60459177405.204895	-5871705.935756573

Results

42.0ms	57×	body	1024	valid
34.0ms	151×	body	256	valid
7.0ms	27×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 239 to 190 computations (20.5% saved)

regimes14.0ms (0.1%)

Accuracy

Total -10.8b remaining (-22.7%)

Threshold costs -10.8b (-22.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
47.7b	1	`x`
47.7b	1	`eps`

Compiler

Compiled 66 to 46 computations (30.3% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative`
48×	`+-commutative`
24×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1003
1	190	999
2	220	999
3	233	999
4	238	999

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -6110483974416289/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -6110483974416289/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4986819005910345/151115727451828646838272) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 812247035053579/9444732965739290427392) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (.f64 1/2 eps))))) (-.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 -7148113328562451/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.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 -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 eps (.f64 -1/2 eps)) (if (<=.f64 eps 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 eps (.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -12500000000) (-.f64 1 (cos.f64 x)) (if (<=.f64 eps 370000000) (.f64 eps (.f64 -1/2 eps)) (-.f64 1 (cos.f64 x))))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))

Outputs
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -6110483974416289/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -6110483974416289/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6110483974416289/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -6110483974416289/1152921504606846976) (not (<=.f64 eps 3112888062438487/576460752303423488))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 x -4986819005910345/151115727451828646838272) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 812247035053579/9444732965739290427392) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (.f64 1/2 eps))))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -4986819005910345/151115727451828646838272) (not (<=.f64 x 812247035053579/9444732965739290427392))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (+.f64 (.f64 x (cos.f64 (.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2))))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -7148113328562451/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.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 -7148113328562451/1152921504606846976) (not (<=.f64 eps 1936908127739503/4611686018427387904))) (-.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 -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -208967022709991/36028797018963968) (not (<=.f64 eps 1936908127739503/4611686018427387904))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1936908127739503/4611686018427387904) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -208967022709991/36028797018963968) (not (<=.f64 eps 1936908127739503/4611686018427387904))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 eps (.f64 -1/2 eps)) (if (<=.f64 eps 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))))
(if (<=.f64 eps -208967022709991/36028797018963968) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 eps (.f64 eps -1/2)) (if (<=.f64 eps 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 -1/2 (.f64 eps eps)) (+.f64 -1 (cos.f64 eps)))))))
(if (<=.f64 eps -208967022709991/36028797018963968) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 3215295219150359/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5623642243178995/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (.f64 eps (.f64 eps -1/2)) (if (<=.f64 eps 3537834798240593/1645504557321206042154969182557350504982735865633579863348609024) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 -1/2 (.f64 eps eps)) (+.f64 -1 (cos.f64 eps)))))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3504881374004815/18446744073709551616) (.f64 eps (.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -208967022709991/36028797018963968) (not (<=.f64 eps 3504881374004815/18446744073709551616))) (+.f64 -1 (cos.f64 eps)) (.f64 eps (.f64 eps -1/2)))
(if (<=.f64 eps -12500000000) (-.f64 1 (cos.f64 x)) (if (<=.f64 eps 370000000) (.f64 eps (.f64 -1/2 eps)) (-.f64 1 (cos.f64 x))))
(if (or (<=.f64 eps -12500000000) (not (<=.f64 eps 370000000))) (-.f64 1 (cos.f64 x)) (.f64 eps (.f64 eps -1/2)))
(.f64 eps (.f64 -1/2 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 -1/2 (.f64 eps eps))

Compiler

Compiled 372 to 247 computations (33.6% saved)

soundness1.0s (6%)

Algorithm

12×	egg-herbie

Rules

1718×	`associate-/r*`
1544×	`associate-/l*`
1516×	`distribute-rgt-in`
1516×	`distribute-lft-in`
1516×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545
0	829	23178
1	2247	21630
0	829	23178
1	2247	21630
0	95	839
1	221	779
2	793	749
3	3991	749
0	38	299
1	93	299
2	347	299
3	1912	299
0	456	10932
1	1283	10512
2	5920	10512
0	456	10932
1	1283	10512
2	5920	10512
0	456	10932
1	1283	10512
2	5920	10512
0	278	6032
1	725	6008
2	2935	5770
0	278	6032
1	725	6008
2	2935	5770
0	553	12355
1	1550	11797
2	7142	11797
0	645	19429
1	1770	18647

Stop Event

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

Compiler

Compiled 1158 to 566 computations (51.1% saved)

end156.0ms (0.9%)

Compiler: Compiled 348 to 185 computations (46.8% 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