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)

sample4.3s (25.3%)

Results

2.0s	4003×	body	1024	valid
1.8s	2158×	body	2048	valid
400.0ms	1313×	body	512	valid
116.0ms	780×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess18.0ms (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

37.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series30.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
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))

rewrite97.0ms (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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simplify147.0ms (0.9%)

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))

eval115.0ms (0.7%)

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

prune124.0ms (0.7%)

Pruning

40 alts after pruning (39 fresh and 1 done)

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

Error

0.1b

Counts

287 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	33.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	46.0b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	54.0b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
	37.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	37.4b	(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	37.6b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
	37.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	20.6b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	20.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	37.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	20.7b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	20.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	38.5b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	38.9b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	20.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	37.2b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	37.2b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	43.0b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	37.3b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	37.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	37.3b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	53.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	36.7b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	37.2b	(-.f64 (cos.f64 eps) 1)
	37.2b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
▶	6.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.7b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	34.1b	(+.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))))))
	38.3b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	31.6b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	39.4b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	37.6b	(.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)))))))
	16.6b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	37.3b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	37.3b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	53.3b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	45.2b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	37.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1229 to 800 computations (34.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.0b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series8.0ms (0%)

Counts

4 → 92

Calls

24 calls:

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

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify195.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 647

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify50.0ms (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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	4.3b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 28 to 7 computations (75% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 293

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
✓	0.4b	(log1p.f64 (cos.f64 (+.f64 x eps)))
	4.3b	(cos.f64 (+.f64 x eps))
✓	18.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series86.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	eps	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
22.0ms	x	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
19.0ms	x	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
14.0ms	eps	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
1.0ms	x	@	0	(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
882×	`associate-*r/`
708×	`distribute-lft-in`
692×	`distribute-rgt-in`
692×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	240	47
2	3110	47

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1048×	`fma-def`
756×	`associate-r`
666×	`associate-+l+`
622×	`associate-l`
610×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	12773
1	1634	12195

Stop Event

1×	node limit

Counts

263 → 350

Calls

Call 1

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

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

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps)))
✓	1.2b	(-.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))))))
✓	3.9b	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
✓	4.1b	(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))

Compiler

Compiled 156 to 80 computations (48.7% saved)

series6.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.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))))))
1.0ms	eps	@	-inf	(-.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))))))
0.0ms	x	@	-inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
0.0ms	x	@	inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
0.0ms	eps	@	-inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))

rewrite140.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`associate-+l+`
702×	`+-commutative`
678×	`associate-+r+`
500×	`add-sqr-sqrt`
488×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	164
1	458	164
2	6878	164

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

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

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate--l-`
960×	`fma-def`
716×	`+-commutative`
684×	`associate-+r+`
660×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	600	19017
1	1682	16631
2	7996	16625

Stop Event

1×	node limit

Counts

321 → 392

Calls

Call 1

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

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

eval897.0ms (5.2%)

Compiler: Compiled 53558 to 22762 computations (57.5% saved)

prune602.0ms (3.5%)

Pruning

71 alts after pruning (69 fresh and 2 done)

	Pruned	Kept	Total
New	1752	57	1809
Fresh	22	12	34
Picked	1	0	1
Done	3	2	5
Total	1778	71	1849

Error

0.0b

Counts

1849 → 71

Alt Table

Click to see full alt table

Status	Error	Program
	48.7b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	62.5b	(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
	37.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.6b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	37.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	37.2b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	37.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	31.5b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	31.5b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	37.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	20.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	37.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	20.9b	(-.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) 1) (fma.f64 (sin.f64 eps) (sin.f64 x) 1)) (cos.f64 x))
	37.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
	20.9b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
	30.4b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	38.5b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	20.9b	(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
	33.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	62.0b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	57.0b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	20.7b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	20.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	20.8b	(-.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	53.8b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	37.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	37.3b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	53.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	36.7b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.2b	(-.f64 (cos.f64 eps) 1)
	36.8b	(+.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))))
	18.9b	(+.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 (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))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	6.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	21.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	17.6b	(+.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))))
	12.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 1)) -1)
	7.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	19.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	6.4b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	9.4b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	34.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.2b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	6.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	48.6b	(+.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)))))
	61.6b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.3b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	45.7b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	16.6b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	39.4b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	48.3b	(.f64 -1/2 (.f64 eps eps))
	53.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	37.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 eps)))
	37.7b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	37.5b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (neg.f64 (.f64 x 2)) (+.f64 (neg.f64 eps) (-.f64 eps x)))))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	37.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	37.2b	(.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
	37.8b	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	37.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
▶	61.6b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	37.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	53.3b	(fabs.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	52.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.1b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	37.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
	37.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2313 to 1609 computations (30.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.9b	(+.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	@	0	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	-inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

rewrite118.0ms (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 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) 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simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/l*`
1106×	`associate-r`
976×	`associate-l`
844×	`times-frac`
574×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1772	18647

Stop Event

1×	node limit

Counts

297 → 417

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

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

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 (cos.f64 eps) -1))
	1.9b	(+.f64 (cos.f64 eps) -1)
✓	2.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`add-sqr-sqrt`
1582×	`*-un-lft-identity`
1468×	`add-cube-cbrt`
1454×	`add-cbrt-cube`
1440×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	176	26
2	1935	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

832×	`unswap-sqr`
728×	`associate-+r-`
714×	`associate-*r/`
704×	`associate-+l-`
698×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1689
1	352	1597
2	1415	1469
3	5186	1469

Stop Event

1×	node limit

Counts

81 → 89

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)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 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 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.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 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.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) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.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))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(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)
(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
(*.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.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 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.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)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (pow.f64 eps 4) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (+.f64 (fma.f64 1/6 (pow.f64 eps 4) 1) (.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 1)))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
(-.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(+.f64 (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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (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 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (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 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 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 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (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 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 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)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	0.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	0.5b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	4.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`associate-*r/`
924×	`distribute-rgt-in`
902×	`distribute-lft-in`
820×	`associate-*l/`
292×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	241	67
2	3295	67

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

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

Outputs

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

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

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1828×	`associate-/r*`
950×	`+-commutative`
816×	`associate-/r/`
528×	`associate-r`
466×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	15629
1	1270	14957
2	5175	14957

Stop Event

1×	node limit

Counts

303 → 253

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.0b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`associate-*r/`
1248×	`associate-*l/`
498×	`associate-+l+`
338×	`add-sqr-sqrt`
330×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	310	58
2	4483	42

Stop Event

1×	node limit

Counts

2 → 219

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 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 (*.f64 (cos.f64 x) (cos.f64 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 (*.f64 (cos.f64 x) (cos.f64 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 (*.f64 (cos.f64 x) (cos.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 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 (*.f64 (cos.f64 x) (cos.f64 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))))))) (#(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 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 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simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-def`
832×	`associate-r`
816×	`associate-l`
772×	`+-commutative`
648×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	18735
1	1798	16663

Stop Event

1×	node limit

Counts

255 → 384

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

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

eval692.0ms (4%)

Compiler: Compiled 41798 to 16795 computations (59.8% saved)

prune513.0ms (3%)

Pruning

81 alts after pruning (76 fresh and 5 done)

	Pruned	Kept	Total
New	1490	31	1521
Fresh	19	45	64
Picked	0	1	1
Done	2	4	6
Total	1511	81	1592

Error

0.0b

Counts

1592 → 81

Alt Table

Click to see full alt table

Status	Error	Program
	6.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	48.7b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	62.5b	(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
	37.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.6b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	37.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	37.2b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	44.8b	(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 2)) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
	40.2b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 4) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 4)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))))))
	37.3b	(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
	31.5b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	31.5b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	37.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	20.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	37.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	21.0b	(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (sin.f64 x))))
	37.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
	20.9b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
	38.5b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	6.3b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	33.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	6.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)))
	20.7b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	20.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	20.8b	(-.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	53.8b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	37.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	37.3b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	53.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	36.7b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.2b	(-.f64 (cos.f64 eps) 1)
▶	0.6b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.3b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	6.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.1b	(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	34.3b	(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	21.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 1)) -1)
	6.7b	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.6b	(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	1.0b	(+.f64 (.f64 (cos.f64 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)))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.2b	(+.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)))
	19.9b	(+.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))))
	6.4b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	36.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	6.3b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	48.6b	(+.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)))))
	6.4b	(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.6b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.6b	(+.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))))
	38.3b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	60.8b	(+.f64 1 (cos.f64 eps))
	45.7b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	16.6b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	39.4b	(*.f64 (neg.f64 eps) (sin.f64 x))
	61.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (cos.f64 (/.f64 eps 2))))
	61.9b	(*.f64 2 (cos.f64 x))
✓	48.3b	(.f64 -1/2 (.f64 eps eps))
	53.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	37.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 eps)))
▶	37.7b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	37.5b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (neg.f64 (.f64 x 2)) (+.f64 (neg.f64 eps) (-.f64 eps x)))))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	37.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	37.2b	(.f64 -1 (-.f64 (cos.f64 x) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 x 2 eps))))))
▶	37.8b	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	37.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.5b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 eps))))
	60.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) 1)))
✓	37.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
▶	53.9b	(log.f64 1)
	53.3b	(fabs.f64 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	52.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.1b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	37.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
	37.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2547 to 1822 computations (28.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.4b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 69 to 30 computations (56.5% saved)

series7.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`associate-*r/`
1548×	`associate-/r*`
1400×	`associate-*l/`
298×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	295	43
2	3749	43

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-/r/`
588×	`associate-/l*`
528×	`+-commutative`
506×	`associate-r`
468×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	6324
1	1114	5792
2	4873	5694

Stop Event

1×	node limit

Counts

176 → 232

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))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(+.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))
(+.f64 (neg.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -1)
(+.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (-.f64 -1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 1 (-.f64 -1 (cos.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (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 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 1 (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 1 (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 1 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) 1) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(pow.f64 (-.f64 -1 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3))
(expm1.f64 (log.f64 (neg.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 -1 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 (cos.f64 eps))))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)
(+.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 eps))))
(*.f64 (sin.f64 eps) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(.f64 (sqrt.f64 (sin.f64 eps)) (.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(.f64 (.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (.f64 1 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))
(.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 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(.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 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))
(.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.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)) (-.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) 1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cos.f64 x) 1) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (cos.f64 eps) 1)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(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 (fma.f64 1/2 (.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(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)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.f64 -1/24 (cos.f64 x)))))
(.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4))))
(+.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 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.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 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(+.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 eps (.f64 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 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (neg.f64 (fma.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -1/2688) (.f64 -1/4 (.f64 (cos.f64 x) 1/720))) (.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 1/720)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
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(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(.f64 (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))) (-.f64 -1 (cos.f64 eps)))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.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 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(*.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.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 (+.f64 -1 (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))))
(.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))
(.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))))
(.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 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))) (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) 1) (+.f64 -1 (cos.f64 eps)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))) (-.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))) (-.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)))
(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) (cos.f64 x)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.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 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(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)))

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 x (-.f64 (+.f64 eps (*.f64 x -3)) eps))
✓	1.2b	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps)))))
✓	3.9b	(-.f64 (+.f64 eps (*.f64 x -3)) eps)
✓	4.2b	(cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps))))

Compiler

Compiled 150 to 92 computations (38.7% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps)))))
1.0ms	eps	@	0	(cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps))))
0.0ms	eps	@	0	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps)))))
0.0ms	x	@	0	(-.f64 (+.f64 eps (*.f64 x -3)) eps)
0.0ms	eps	@	0	(-.f64 (+.f64 eps (*.f64 x -3)) eps)

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
552×	`pow1`
552×	`*-un-lft-identity`
532×	`add-exp-log`
532×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	146
1	517	134

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps))))
(-.f64 (+.f64 eps (*.f64 x -3)) eps)
(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps)))))
(+.f64 x (-.f64 (+.f64 eps (*.f64 x -3)) eps))

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`+-commutative`
914×	`associate--r+`
856×	`associate-+r-`
830×	`associate-+l-`
730×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	10177
1	1177	8569
2	5416	8405

Stop Event

1×	node limit

Counts

241 → 273

Calls

Call 1

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

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

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 x (-.f64 (+.f64 eps (*.f64 x -3)) eps))
	1.2b	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps)))))
	3.9b	(-.f64 (+.f64 eps (*.f64 x -3)) eps)
	4.2b	(cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (.f64 x 3) eps))))

Compiler

Compiled 177 to 110 computations (37.9% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	0.2b	(*.f64 1/40320 (pow.f64 eps 8))
✓	13.6b	(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))
✓	21.5b	(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))

Compiler

Compiled 94 to 76 computations (19.1% saved)

series3.0ms (0%)

Counts

4 → 9

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
0.0ms	eps	@	inf	(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
0.0ms	eps	@	0	(*.f64 1/24 (pow.f64 eps 4))
0.0ms	eps	@	inf	(*.f64 1/24 (pow.f64 eps 4))
0.0ms	eps	@	inf	(*.f64 1/40320 (pow.f64 eps 8))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
882×	`associate-*l/`
436×	`add-sqr-sqrt`
412×	`add-exp-log`
412×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	462	94
2	5399	94

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8))))
(*.f64 1/40320 (pow.f64 eps 8))
(*.f64 1/24 (pow.f64 eps 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 1 (.f64 1/40320 (pow.f64 eps 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/40320 (pow.f64 eps 8)))) (-.f64 1 (.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 eps 12) 1/518400) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8)))) (/.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (exp.f64 (log1p.f64 (.f64 1/40320 (pow.f64 eps 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6))))) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/24 (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/24 (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/24 (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/24 (pow.f64 eps 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/24 (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/24 (pow.f64 eps 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/24 (pow.f64 eps 4))))))))

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-+r+`
894×	`associate-+l+`
834×	`+-commutative`
728×	`associate-/r*`
626×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	11994
1	1159	11548
2	4826	11548

Stop Event

1×	node limit

Counts

170 → 238

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 eps 6))
(*.f64 1/40320 (pow.f64 eps 8))
(*.f64 1/40320 (pow.f64 eps 8))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))
(*.f64 1/40320 (pow.f64 eps 8))
(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
(*.f64 1/40320 (pow.f64 eps 8))
(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 1 (.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/40320 (pow.f64 eps 8)))) (-.f64 1 (.f64 -1/720 (pow.f64 eps 6))))
(-.f64 (/.f64 (.f64 (pow.f64 eps 12) 1/518400) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8)))) (/.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8)))))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (exp.f64 (log1p.f64 (.f64 1/40320 (pow.f64 eps 8))))) 1)
(-.f64 (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6))))) 1)
(.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 1)
(.f64 1 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(.f64 (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6)))))
(.f64 (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (pow.f64 (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2) (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6)))))
(.f64 (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 1/1625702400 (pow.f64 eps 16))) (/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 -1/40320 (pow.f64 eps 8)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 6) 3) -1/373248000) (.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3))) (/.f64 1 (+.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 (.f64 (.f64 -1/720 (pow.f64 eps 6)) 1/40320) (pow.f64 eps 8))))))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8))) (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 1/1625702400 (pow.f64 eps 16)))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 (.f64 (.f64 -1/720 (pow.f64 eps 6)) 1/40320) (pow.f64 eps 8)))) (+.f64 (.f64 (pow.f64 (pow.f64 eps 6) 3) -1/373248000) (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 1/1625702400 (pow.f64 eps 16))) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 6) 3) -1/373248000) (.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3))) (+.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 (.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1/40320) (pow.f64 eps 8)))))
(/.f64 (-.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (.f64 (pow.f64 eps 12) 1/518400)) (-.f64 (.f64 1/40320 (pow.f64 eps 8)) (.f64 -1/720 (pow.f64 eps 6))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 1/1625702400 (pow.f64 eps 16)))) (neg.f64 (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 -1/40320 (pow.f64 eps 8)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 6) 3) -1/373248000) (.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)))) (neg.f64 (+.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (-.f64 (.f64 (pow.f64 eps 12) 1/518400) (.f64 (.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1/40320) (pow.f64 eps 8))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (.f64 (pow.f64 eps 12) 1/518400))) (-.f64 (.f64 1/40320 (pow.f64 eps 8)) (*.f64 -1/720 (pow.f64 eps 6))))
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(/.f64 (.f64 1 (+.f64 (.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)) (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) 3))) (+.f64 (.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2)))) (neg.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) (sqrt.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2)))) (sqrt.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2)) (cbrt.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2)))) (cbrt.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2)) 1) (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3)) 1) (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2) (.f64 (pow.f64 eps 4) 1/4)) 1) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (.f64 eps -1/2))))
(/.f64 (.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 1/1625702400 (pow.f64 eps 16))) 1) (-.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))
(/.f64 (.f64 (+.f64 (.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)) (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) 3)) 1) (+.f64 (.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 (.f64 1/1625702400 (pow.f64 eps 16)) (.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))) (.f64 1/40320 (pow.f64 eps 8))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2))) 1) (neg.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))) (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2))) (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))) (sqrt.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2))) (cbrt.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2))) (cbrt.f64 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (pow.f64 eps 4) 1/4)) (.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2))) (/.f64 1 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))) (+.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2) (.f64 (pow.f64 eps 4) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 eps 4) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2) 3)) (/.f64 1 (-.f64 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (pow.f64 eps 4) 1/4)) (+.f64 (.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 2)) (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 6) -1/8) (.f64 (pow.f64 eps 6) -1/8)) (.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (.f64 eps -1/2))))))) (-.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 6) -1/8) 3) (pow.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (-.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (.f64 eps -1/2))))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 eps 6) -1/8) (.f64 (pow.f64 eps 6) -1/8)) (.f64 (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))) (.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) 3))))
(pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (.f64 eps eps) -1/2 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))
(fma.f64 1 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 eps (.f64 eps -1/2)))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2) (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 eps (.f64 eps -1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 eps (.f64 eps -1/2))) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/40320 (pow.f64 eps 8)))) 1)
(pow.f64 (*.f64 1/40320 (pow.f64 eps 8)) 1)
(pow.f64 (*.f64 (pow.f64 eps 4) (sqrt.f64 1/40320)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/40320 (pow.f64 eps 8))) 3)
(pow.f64 (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)) 1/3)
(sqrt.f64 (*.f64 1/1625702400 (pow.f64 eps 16)))
(log.f64 (pow.f64 (exp.f64 1/40320) (pow.f64 eps 8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/40320 (pow.f64 eps 8)))))
(cbrt.f64 (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(exp.f64 (log.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(exp.f64 (.f64 (log.f64 (.f64 1/40320 (pow.f64 eps 8))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4)))) 1)
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 eps 4))) 3)
(pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 8) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4)))))
(cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4))))
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 eps 4))))
(exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4))))

Outputs
(*.f64 -1/720 (pow.f64 eps 6))
(*.f64 1/40320 (pow.f64 eps 8))
(*.f64 1/40320 (pow.f64 eps 8))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/720 (pow.f64 eps 6)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))
(fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))
(*.f64 1/40320 (pow.f64 eps 8))
(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
(fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))
(*.f64 1/40320 (pow.f64 eps 8))
(+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))
(fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 1 (.f64 1/40320 (pow.f64 eps 8))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) 1) (.f64 1/40320 (pow.f64 eps 8)))
(fma.f64 1/40320 (pow.f64 eps 8) (expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))) 1)
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(pow.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) 2)
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))) 3)
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 3) 1/3)
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))) 2))
(fabs.f64 (fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))))
(log.f64 (exp.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 3))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(exp.f64 (log.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))) 1))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 (.f64 eps eps) -1/2 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 1 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))) (.f64 eps (*.f64 eps -1/2)))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 1 (.f64 eps (.f64 eps -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (sqrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 eps (.f64 eps -1/2)))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) 2) (cbrt.f64 (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))) (.f64 eps (.f64 eps -1/2)))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(fma.f64 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 eps (.f64 eps -1/2))) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 eps (.f64 eps -1/2))) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/40320 (pow.f64 eps 8)))) 1)
(*.f64 1/40320 (pow.f64 eps 8))
(pow.f64 (*.f64 1/40320 (pow.f64 eps 8)) 1)
(*.f64 1/40320 (pow.f64 eps 8))
(pow.f64 (*.f64 (pow.f64 eps 4) (sqrt.f64 1/40320)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/40320 (pow.f64 eps 8))) 3)
(*.f64 1/40320 (pow.f64 eps 8))
(pow.f64 (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)) 1/3)
(cbrt.f64 (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)))
(sqrt.f64 (*.f64 1/1625702400 (pow.f64 eps 16)))
(log.f64 (pow.f64 (exp.f64 1/40320) (pow.f64 eps 8)))
(*.f64 1/40320 (pow.f64 eps 8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 1/40320 (pow.f64 eps 8))
(cbrt.f64 (*.f64 1/65548320768000 (pow.f64 (pow.f64 eps 8) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(*.f64 1/40320 (pow.f64 eps 8))
(exp.f64 (log.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(*.f64 1/40320 (pow.f64 eps 8))
(exp.f64 (.f64 (log.f64 (.f64 1/40320 (pow.f64 eps 8))) 1))
(*.f64 1/40320 (pow.f64 eps 8))
(log1p.f64 (expm1.f64 (*.f64 1/40320 (pow.f64 eps 8))))
(*.f64 1/40320 (pow.f64 eps 8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4)))) 1)
(*.f64 (pow.f64 eps 4) 1/24)
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 (pow.f64 eps 4) 1/24)
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2)
(pow.f64 (.f64 eps (.f64 eps (sqrt.f64 1/24))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 eps 4))) 3)
(*.f64 (pow.f64 eps 4) 1/24)
(pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3) 1/3)
(*.f64 (pow.f64 eps 4) 1/24)
(sqrt.f64 (*.f64 (pow.f64 eps 8) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))
(*.f64 (pow.f64 eps 4) 1/24)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (pow.f64 eps 4) 1/24)
(cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3))
(*.f64 (pow.f64 eps 4) 1/24)
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) 1/24)
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) 1/24)
(exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))) 1))
(*.f64 (pow.f64 eps 4) 1/24)
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) 1/24)

eval649.0ms (3.8%)

Compiler: Compiled 38243 to 25633 computations (33% saved)

prune320.0ms (1.9%)

Pruning

86 alts after pruning (78 fresh and 8 done)

	Pruned	Kept	Total
New	1058	21	1079
Fresh	14	57	71
Picked	0	1	1
Done	2	7	9
Total	1074	86	1160

Error

0.0b

Counts

1160 → 86

Alt Table

Click to see full alt table

Status	Error	Program
	6.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	62.5b	(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
	61.6b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	37.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	37.2b	(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
	40.2b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 4) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 4)) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))))))
	37.3b	(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
	31.5b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	31.5b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	37.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	20.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	37.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	21.0b	(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (sin.f64 x))))
	37.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
	20.9b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
	38.5b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	6.3b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	33.6b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	6.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)))
	20.7b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	20.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	37.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	53.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	36.7b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.2b	(-.f64 (cos.f64 eps) 1)
	6.3b	(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.6b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.9b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 x (neg.f64 (sin.f64 eps))))
	6.6b	(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.5b	(+.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.7b	(+.f64 (/.f64 (.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2))) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.3b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	6.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.1b	(+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	34.3b	(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	21.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 (+.f64 x eps)) 1)) -1)
	17.9b	(+.f64 (.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.7b	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.2b	(+.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)))
	19.9b	(+.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))))
	6.4b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	36.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
✓	48.6b	(+.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)))))
	48.7b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 eps (*.f64 eps -1/2)))
	6.4b	(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.6b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.6b	(+.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))))
	38.3b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	60.8b	(+.f64 1 (cos.f64 eps))
	45.7b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	16.6b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	39.4b	(*.f64 (neg.f64 eps) (sin.f64 x))
	61.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (cos.f64 (/.f64 eps 2))))
	61.9b	(*.f64 2 (cos.f64 x))
✓	48.3b	(.f64 -1/2 (.f64 eps eps))
	38.4b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3 x) 2)) (-.f64 x (.f64 3 x))))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	37.5b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	53.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	43.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (fabs.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 eps (*.f64 x 2))))))))
	53.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (*.f64 x 2)))))
	37.3b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (*.f64 x -3)) eps)))) (cos.f64 eps)))
	37.5b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (neg.f64 (.f64 x 2)) (+.f64 (neg.f64 eps) (-.f64 eps x)))))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	37.1b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 3 x)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (fma.f64 3 x eps))))))
	37.1b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 3 x)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	37.4b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 3 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 eps (*.f64 x 2)))))))
	52.7b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (.f64 x -2))) (cos.f64 (.f64 1/2 (-.f64 (*.f64 3 x) x)))))
	36.9b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (.f64 x -2))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	34.3b	(.f64 -1 (.f64 -2 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 (-.f64 (.f64 3 x) eps) (+.f64 eps (.f64 x 2)))) 1/4)) (sin.f64 (.f64 (+.f64 (fma.f64 3 x eps) (+.f64 x (+.f64 eps (.f64 x 2)))) 1/4)))))
	52.9b	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (*.f64 x 2))))))
	37.4b	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (*.f64 x -3)) eps)))) (cos.f64 eps))))
	37.5b	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 3 x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 eps (*.f64 x 2))))))))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	37.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.5b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 eps))))
	60.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) 1)))
✓	37.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
✓	53.9b	(log.f64 1)
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	52.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.1b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	37.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
	37.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1465 to 1069 computations (27% saved)

regimes525.0ms (3.1%)

Counts

149 → 1

Calls

Call 1

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

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

Calls

3 calls:

131.0ms	x
122.0ms	eps
102.0ms	(-.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 2444 to 1090 computations (55.4% saved)

regimes412.0ms (2.4%)

Counts

121 → 1

Calls

Call 1

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

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

Calls

3 calls:

189.0ms	x
105.0ms	eps
61.0ms	(-.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 1689 to 814 computations (51.8% saved)

regimes580.0ms (3.4%)

Counts

120 → 3

Calls

Call 1

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

Outputs

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

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

(+.f64 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Calls

3 calls:

209.0ms	x
192.0ms	eps
139.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
6.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1670 to 807 computations (51.7% saved)

bsearch142.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	1.7630464902297164e-25	1.3299568820466635e-18
87.0ms	-1.2481830608985675e-7	-1.8633386125211914e-20

Results

102.0ms	181×	body	1024	valid
15.0ms	56×	body	512	valid
10.0ms	17×	body	2048	valid
8.0ms	50×	body	256	valid

Compiler

Compiled 763 to 569 computations (25.4% saved)

regimes439.0ms (2.6%)

Counts

114 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

175.0ms	x
154.0ms	eps
70.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
6.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1568 to 766 computations (51.1% saved)

bsearch126.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	1.7630464902297164e-25	1.3299568820466635e-18
63.0ms	-1.2481830608985675e-7	-1.8633386125211914e-20

Results

85.0ms	155×	body	1024	valid
18.0ms	68×	body	512	valid
9.0ms	65×	body	256	valid
8.0ms	16×	body	2048	valid

Compiler

Compiled 736 to 542 computations (26.4% saved)

regimes467.0ms (2.7%)

Counts

100 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

193.0ms	eps
148.0ms	x
94.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
6.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1347 to 706 computations (47.6% saved)

bsearch129.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	1.7630464902297164e-25	1.3299568820466635e-18
59.0ms	-1.2481830608985675e-7	-1.8633386125211914e-20

Results

92.0ms	169×	body	1024	valid
18.0ms	73×	body	512	valid
7.0ms	13×	body	2048	valid
7.0ms	49×	body	256	valid

Compiler

Compiled 766 to 572 computations (25.3% saved)

regimes467.0ms (2.7%)

Counts

96 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

196.0ms	eps
174.0ms	x
68.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
6.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1260 to 658 computations (47.8% saved)

bsearch391.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
332.0ms	1.7630464902297164e-25	1.3299568820466635e-18
58.0ms	-1.2481830608985675e-7	-1.8633386125211914e-20

Results

324.0ms	156×	body	1024	valid
33.0ms	14×	body	2048	valid
19.0ms	75×	body	512	valid
9.0ms	59×	body	256	valid

Compiler

Compiled 736 to 542 computations (26.4% saved)

regimes181.0ms (1.1%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	eps
41.0ms	x
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.6b	1	`x`
16.6b	1	`eps`
16.6b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1217 to 643 computations (47.2% saved)

regimes134.0ms (0.8%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
45.0ms	x
35.0ms	eps

Results

Error	Segments	Branch
23.8b	3	`x`
16.2b	3	`eps`
17.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 228 to 122 computations (46.5% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	3.2162470653852207e-18	0.014516014746145708
34.0ms	-0.13230142359882158	-9.480892399687946e-7

Results

31.0ms	73×	body	1024	valid
24.0ms	182×	body	256	valid
12.0ms	46×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes150.0ms (0.9%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

3 calls:

98.0ms	eps
32.0ms	x
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.8b	3	`x`
20.1b	5	`eps`
23.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 166 to 81 computations (51.2% saved)

bsearch232.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	3.2162470653852207e-18	0.014516014746145708
79.0ms	-1.4941723583142634e-97	-1.032958178650469e-108
46.0ms	-4.603349194583025e-44	-2.7005412779092774e-47
58.0ms	-9.480892399687946e-7	-2.3038924557783654e-10

Results

90.0ms	229×	body	1024	valid
57.0ms	169×	body	256	valid
44.0ms	50×	body	2048	valid
34.0ms	128×	body	512	valid

Compiler

Compiled 590 to 442 computations (25.1% saved)

regimes48.0ms (0.3%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	eps
15.0ms	x

Results

Error	Segments	Branch
25.2b	3	`x`
20.8b	5	`eps`

Compiler

Compiled 48 to 33 computations (31.3% saved)

bsearch190.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
38.0ms	3.2162470653852207e-18	0.014516014746145708
75.0ms	-1.4941723583142634e-97	-1.032958178650469e-108
45.0ms	-4.603349194583025e-44	-2.7005412779092774e-47
31.0ms	-9.480892399687946e-7	-2.3038924557783654e-10

Results

84.0ms	207×	body	1024	valid
37.0ms	57×	body	2048	valid
34.0ms	125×	body	512	valid
27.0ms	187×	body	256	valid

Compiler

Compiled 572 to 442 computations (22.7% saved)

regimes26.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
37.2b	1	`x`
31.5b	3	`eps`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch76.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	3.2162470653852207e-18	0.014516014746145708
35.0ms	-0.13230142359882158	-9.480892399687946e-7

Results

29.0ms	72×	body	1024	valid
25.0ms	186×	body	256	valid
9.0ms	15×	body	2048	valid
9.0ms	31×	body	512	valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -14.7b remaining (-30.4%)

Threshold costs -14.7b (-30.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
48.3b	1	`x`
48.3b	1	`eps`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative`
42×	`*-commutative`
22×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1146
1	173	1130
2	202	1130
3	216	1130
4	222	1130

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 x -6084722881095501/81129638414606681695789005144064) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 4070760737091305/166153499473114484112975882535043072) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -602134035108409/316912650057057350374175801344) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 8826904659509207/10384593717069655257060992658440192) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -1541463129877527/81129638414606681695789005144064) (+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 1687496479023819/1298074214633706907132624082305024) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4259306016766851/20282409603651670423947251286016) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 2857840190937569/332306998946228968225951765070086144) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5764607523034235/576460752303423488) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -8028023020878397/9444732965739290427392) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -2442545827273665/12855504354071922204335696738729300820177623950262342682411008) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 48999163945791/288230376151711744) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -4382356096103031/302231454903657293676544) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5142201741628769/3213876088517980551083924184682325205044405987565585670602752) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3246626956972881/1180591620717411303424) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 534955578137577/4611686018427387904) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(.f64 -1/2 (.f64 eps eps))

Outputs
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 x -6084722881095501/81129638414606681695789005144064) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 4070760737091305/166153499473114484112975882535043072) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -6084722881095501/81129638414606681695789005144064) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 4070760737091305/166153499473114484112975882535043072) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))))
(if (<=.f64 x -6084722881095501/81129638414606681695789005144064) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 4070760737091305/166153499473114484112975882535043072) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -602134035108409/316912650057057350374175801344) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 8826904659509207/10384593717069655257060992658440192) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -602134035108409/316912650057057350374175801344) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 8826904659509207/10384593717069655257060992658440192) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -1541463129877527/81129638414606681695789005144064) (+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 1687496479023819/1298074214633706907132624082305024) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -1541463129877527/81129638414606681695789005144064) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps))))) (if (<=.f64 x 1687496479023819/1298074214633706907132624082305024) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -1541463129877527/81129638414606681695789005144064) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 1687496479023819/1298074214633706907132624082305024) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -4259306016766851/20282409603651670423947251286016) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 2857840190937569/332306998946228968225951765070086144) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -4259306016766851/20282409603651670423947251286016) (not (<=.f64 x 2857840190937569/332306998946228968225951765070086144))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -4842270319348757/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5764607523034235/576460752303423488) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -4842270319348757/1152921504606846976) (not (<=.f64 eps 5764607523034235/576460752303423488))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -8028023020878397/9444732965739290427392) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -2442545827273665/12855504354071922204335696738729300820177623950262342682411008) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 48999163945791/288230376151711744) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -8028023020878397/9444732965739290427392) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -2442545827273665/12855504354071922204335696738729300820177623950262342682411008) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -7387876161823965/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 48999163945791/288230376151711744) (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -4382356096103031/302231454903657293676544) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -5142201741628769/3213876088517980551083924184682325205044405987565585670602752) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3246626956972881/1180591620717411303424) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -4382356096103031/302231454903657293676544) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -5142201741628769/3213876088517980551083924184682325205044405987565585670602752) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps -6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 3246626956972881/1180591620717411303424) (.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (cos.f64 eps))))))
(if (<=.f64 eps -2674777890687885/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 534955578137577/4611686018427387904) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -2674777890687885/18446744073709551616) (not (<=.f64 eps 534955578137577/4611686018427387904))) (+.f64 -1 (cos.f64 eps)) (.f64 (.f64 eps eps) -1/2))
(.f64 -1/2 (.f64 eps eps))
(.f64 (.f64 eps eps) -1/2)

Compiler

Compiled 413 to 269 computations (34.9% saved)

soundness152.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1148×	`associate-/l*`
1106×	`associate-r`
1048×	`fma-def`
976×	`associate-l`
844×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1772	18647
0	574	12773
1	1634	12195

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 319 to 157 computations (50.8% saved)

end197.0ms (1.2%)

Compiler: Compiled 391 to 188 computations (51.9% saved)

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

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

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

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

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

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