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 (23.6%)

Results

1.9s	2106×	body	2048	valid
1.8s	3976×	body	1024	valid
431.0ms	1364×	body	512	valid
165.0ms	805×	body	256	valid
6.0ms	5×	body	4096	valid

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

39.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
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Outputs

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simplify154.0ms (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))

eval124.0ms (0.7%)

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

prune107.0ms (0.6%)

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	245	41	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	42	287

Error

0.2b

Counts

287 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	31.8b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	32.1b	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (.f64 eps (sin.f64 x))))
	39.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	39.7b	(/.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)))))
	39.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
	39.6b	(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
	39.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	24.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶	32.0b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	47.5b	(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
	39.8b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.5b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))))) (cos.f64 x))
	55.5b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	24.2b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.7b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	55.4b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	40.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.3b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	24.3b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	39.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	44.5b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	39.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.0b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	39.1b	(-.f64 (cos.f64 eps) 1)
	40.6b	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
▶	6.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.3b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	32.1b	(+.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))))))
	40.6b	(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 x x) (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) 1))
	40.3b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	34.0b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	37.2b	(*.f64 (neg.f64 eps) (sin.f64 x))
	39.8b	(.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)))))))
	15.0b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
▶	55.7b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	46.1b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	39.5b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1497 to 962 computations (35.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.8b	(+.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)))

rewrite232.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify243.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(-.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)

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	3.2b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 28 to 7 computations (75% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite124.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (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)))))
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(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 2) (cbrt.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
✓	0.3b	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
	1.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	3.2b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 40 to 12 computations (70% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`associate-*r/`
1006×	`associate-*l/`
982×	`distribute-lft-in`
330×	`associate-+l+`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	277	48
2	3632	48

Stop Event

1×	node limit

Counts

2 → 311

Calls

Call 1

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

Outputs

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

simplify217.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-r`
1276×	`associate-/l*`
1192×	`associate-l`
814×	`distribute-lft-in`
794×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	869	28115
1	2521	27947

Stop Event

1×	node limit

Counts

359 → 519

Calls

Call 1

Inputs
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (.f64 -1 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps)))) x))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (.f64 -1 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps)))) x)))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (-.f64 (cos.f64 eps) 1)) (+.f64 (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (.f64 -1 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps)))) x) (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (+.f64 (.f64 -2 (.f64 (-.f64 (cos.f64 eps) 1) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (sin.f64 eps)))) (+.f64 (.f64 -1 (.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (.f64 2 (.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))) (sin.f64 eps))) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 (sin.f64 eps) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))) (.f64 -1 (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (sin.f64 eps))))) (-.f64 (cos.f64 eps) 1))))) (pow.f64 x 3)))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 3)
(.f64 -1 (.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (pow.f64 eps 4)) (.f64 -1 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (sin.f64 x))))) (pow.f64 eps 5)) (.f64 -1 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (.f64 -1 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (sin.f64 x))))) (pow.f64 eps 5)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))) (.f64 (pow.f64 eps 6) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (.f64 1/4 (pow.f64 (cos.f64 x) 2))) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1 (.f64 (sin.f64 x) (+.f64 (.f64 -1/12 (.f64 (cos.f64 x) (sin.f64 x))) (.f64 -1/6 (.f64 (cos.f64 x) (sin.f64 x)))))) (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 3)
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
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(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(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)
(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)))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1/3))
(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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))
✓	0.2b	(*.f64 eps (sin.f64 x))
✓	2.9b	(*.f64 (sin.f64 x) (pow.f64 eps 3))
✓	6.0b	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

Compiler

Compiled 77 to 36 computations (53.2% saved)

series9.0ms (0.1%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	x	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
0.0ms	x	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

160 → 164

Calls

Call 1

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

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

eval743.0ms (4.1%)

Compiler: Compiled 56308 to 20518 computations (63.6% saved)

prune796.0ms (4.4%)

Pruning

66 alts after pruning (64 fresh and 2 done)

	Pruned	Kept	Total
New	1904	53	1957
Fresh	25	11	36
Picked	1	0	1
Done	3	2	5
Total	1933	66	1999

Error

0.1b

Counts

1999 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
	39.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.8b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	33.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	24.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	32.3b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3))
▶	39.8b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.7b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x))))
	24.5b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))))) (cos.f64 x))
	24.2b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	40.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	39.6b	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))) 1)
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	31.9b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.8b	(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	57.5b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.3b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	24.3b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	32.1b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	61.8b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	39.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.1b	(-.f64 (cos.f64 eps) 1)
	30.6b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
	32.1b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.4b	(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 6)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	33.5b	(+.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))))
	12.1b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	19.7b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.7b	(+.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.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)))
	6.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	18.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	35.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	34.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	40.3b	(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
	31.7b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.5b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.8b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	15.0b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	37.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	50.5b	(.f64 -1/2 (.f64 eps eps))
	39.6b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (-.f64 x (+.f64 eps (+.f64 x x)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	61.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	39.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	39.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.7b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	55.1b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.5b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	46.1b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.5b	(expm1.f64 (log.f64 (cos.f64 eps)))
	50.4b	(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x))) 3))
	24.4b	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) 3))
	39.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	40.7b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1)) 3))
	52.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) 3))

Compiler

Compiled 2199 to 1471 computations (33.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	1.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

24 calls:

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

rewrite158.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

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

simplify249.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	23178
1	2247	21630

Stop Event

1×	node limit

Counts

368 → 507

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(*.f64 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
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(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 3))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (+.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)) 2))
(/.f64 (.f64 1 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) 2) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)))) 2))
(/.f64 (.f64 1 (neg.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) (cbrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))) 1) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 3)) 1) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (+.f64 (.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) 1) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)) 2))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) 2) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) 1) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)))) 2))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) 1) (neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)) (cbrt.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2))) (/.f64 1 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) 3)) (/.f64 1 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 1 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 1) 2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) -2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 1) -2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (-.f64 eps x)) 3) (pow.f64 (cos.f64 (+.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (-.f64 (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))

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

localize60.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 (cos.f64 eps) -1))
✓	1.8b	(+.f64 (cos.f64 eps) -1)
✓	1.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 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	@	0	(+.f64 (cos.f64 eps) -1)

rewrite82.0ms (0.5%)

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	37
1	176	37
2	1935	37

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.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 (+.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 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 (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))))))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

910×	`associate--r+`
852×	`associate-+r-`
832×	`unswap-sqr`
778×	`associate-+l-`
716×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2679
1	353	2555
2	1428	2299
3	6037	2299

Stop Event

1×	node limit

Counts

125 → 87

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 -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 (+.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))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(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)))
(+.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)
(*.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))))
(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)
(fma.f64 eps (*.f64 -1/2 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 (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 (cos.f64 eps) -1)
(-.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)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.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)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))
(/.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)
(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 (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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 x eps)))
✓	0.6b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
	3.2b	(cos.f64 (+.f64 x eps))
✓	15.1b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
3.0ms	eps	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	eps	@	-inf	(cbrt.f64 (cos.f64 (+.f64 x eps)))
2.0ms	x	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	x	@	-inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`associate-*r/`
806×	`distribute-rgt-in`
782×	`associate-*l/`
770×	`distribute-lft-in`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	268	47
2	3401	47

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-r`
1236×	`fma-def`
986×	`associate-l`
772×	`*-commutative`
618×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	20589
1	2087	19699

Stop Event

1×	node limit

Counts

267 → 350

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
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(/.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))))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (cos.f64 (+.f64 x eps)) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))

Outputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x) 1))
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (cos.f64 eps)) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))) (.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (.f64 x x) (.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x))) -1)
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 x (.f64 x (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))))))) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))) (.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (.f64 x x) (fma.f64 (+.f64 (.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (.f64 -2/9 (.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18)) (.f64 (sin.f64 eps) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) -2/9)))) (pow.f64 x 3) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x)))) -1)
(+.f64 (fma.f64 (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (.f64 x x) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 (fma.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/9 (.f64 (sin.f64 eps) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18)))) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 -1/3 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (sin.f64 eps)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))) -2/9))))) (pow.f64 x 3)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
0
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (.f64 eps (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1))) (cos.f64 x))
(+.f64 (.f64 eps (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 (sin.f64 x)))) 0)
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (.f64 (pow.f64 (.f64 (cos.f64 x) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2)))))))))) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1) eps (.f64 (.f64 eps eps) (fma.f64 1/3 (.f64 1 (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 2/3 (.f64 (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))))))))))) (cos.f64 x))
(+.f64 (fma.f64 (.f64 eps eps) (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (.f64 (fma.f64 -1/2 (cos.f64 x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (.f64 eps (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 (sin.f64 x))))) 0)
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
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(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.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) (pow.f64 (cos.f64 eps) 2)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

0.2b

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

✓

2.4b

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

Compiler

Compiled 48 to 10 computations (79.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	298	32
2	4036	32

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

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

simplify187.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate--l+`
1202×	`associate--r+`
864×	`fma-def`
588×	`associate-r`
514×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	12442
1	1363	11698
2	6713	11698

Stop Event

1×	node limit

Counts

234 → 310

Calls

Call 1

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

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

eval924.0ms (5.1%)

Compiler: Compiled 42468 to 16568 computations (61% saved)

prune496.0ms (2.7%)

Pruning

67 alts after pruning (60 fresh and 7 done)

	Pruned	Kept	Total
New	1381	24	1405
Fresh	23	36	59
Picked	0	1	1
Done	0	6	6
Total	1404	67	1471

Error

0.0b

Counts

1471 → 67

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.3b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	39.9b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)
	61.8b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	33.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.7b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
✓	24.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	31.7b	(-.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 -1/720 (pow.f64 eps 6))))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	39.8b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
▶	39.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	24.7b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x))))
	39.4b	(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	6.5b	(-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.2b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	6.6b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
✓	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.3b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (sin.f64 eps))))))
	35.2b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	40.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	34.9b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	19.7b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	8.9b	(-.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1) (.f64 (sin.f64 x) (sin.f64 eps)))
	29.7b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x))) -1) (.f64 (sin.f64 x) (sin.f64 eps)))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
▶	56.1b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	31.9b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.8b	(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
▶	6.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	24.3b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	24.3b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	38.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
	31.7b	(-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.1b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
✓	39.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.1b	(-.f64 (cos.f64 eps) 1)
	30.6b	(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
	24.0b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	7.8b	(+.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)))
	6.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	18.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	40.3b	(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
	6.6b	(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (+.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	61.8b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	15.0b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	37.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	50.5b	(.f64 -1/2 (.f64 eps eps))
	39.6b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (-.f64 x (+.f64 eps (+.f64 x x)))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	61.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	39.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	39.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.7b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	55.1b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.5b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
▶	46.5b	(expm1.f64 (log.f64 (cos.f64 eps)))
	50.4b	(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x))) 3))
	24.4b	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) 3))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	52.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) 3))
	56.0b	0

Compiler

Compiled 2035 to 1375 computations (32.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
	1.8b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
1.0ms	eps	@	-inf	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
0.0ms	x	@	0	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
0.0ms	x	@	inf	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
0.0ms	eps	@	inf	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`associate-*r/`
1258×	`associate-*l/`
416×	`associate-+l+`
326×	`add-sqr-sqrt`
318×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	304	62
2	4119	62

Stop Event

1×	node limit

Counts

2 → 240

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (fma.f64 (neg.f64 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simplify345.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1228×	`fma-def`
1080×	`associate--r+`
828×	`associate-+l+`
790×	`associate-+r+`
636×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	22538
1	1790	20848
2	7864	20836

Stop Event

1×	node limit

Counts

256 → 371

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 eps eps))
✓	0.0b	(+.f64 1 (.f64 -1/2 (.f64 eps eps)))
✓	1.4b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`add-sqr-sqrt`
1830×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	198	28
2	2636	28

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-*r/`
1278×	`fma-def`
1044×	`associate--l-`
838×	`associate-*l/`
624×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2849
1	438	2623
2	1534	2611
3	6273	2611

Stop Event

1×	node limit

Counts

111 → 122

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(+.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) -1) 1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (.f64 -1/2 (.f64 eps eps)) 0)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 1 (.f64 -1/2 (*.f64 eps eps)))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 (.f64 eps eps) -1/2)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 -1/2 (*.f64 eps eps)) 1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(.f64 -1/2 (.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (*.f64 eps eps))))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 eps eps))))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (.f64 -1/2 eps) eps)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (*.f64 eps eps)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (fma.f64 -1/2 (.f64 eps eps) 2))))
(.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(.f64 -1/2 (.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (*.f64 eps eps))))
(.f64 (.f64 (*.f64 -1/2 eps) 1) eps)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 (.f64 -1/2 eps) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 -1/2 eps) (cbrt.f64 eps)))
(.f64 (.f64 -1/2 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)))
(.f64 (+.f64 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (+.f64 (.f64 -1/2 (*.f64 eps eps)) 2))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (.f64 eps eps) 1) -1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
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(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps))))
(exp.f64 (log1p.f64 (.f64 eps (.f64 -1/2 eps))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 eps eps))) 1))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps))))
(exp.f64 (log1p.f64 (.f64 eps (.f64 -1/2 eps))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(fma.f64 1 (.f64 -1/2 (.f64 eps eps)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(fma.f64 (*.f64 eps eps) -1/2 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 eps eps))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) 1)
(fma.f64 (*.f64 -1/2 eps) eps 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 -1/2 eps) 1)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (log.f64 (cos.f64 eps)))
✓	1.8b	(log.f64 (cos.f64 eps))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series63.0ms (0.3%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	eps	@	inf	(log.f64 (cos.f64 eps))
26.0ms	eps	@	0	(expm1.f64 (log.f64 (cos.f64 eps)))
10.0ms	eps	@	-inf	(log.f64 (cos.f64 eps))
1.0ms	eps	@	0	(log.f64 (cos.f64 eps))
0.0ms	eps	@	inf	(expm1.f64 (log.f64 (cos.f64 eps)))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`add-sqr-sqrt`
1024×	`*-un-lft-identity`
968×	`pow1`
946×	`add-cube-cbrt`
934×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	111	20
2	1284	20

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(log.f64 (cos.f64 eps))
(expm1.f64 (log.f64 (cos.f64 eps)))

Outputs

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

942×	`*-commutative`
862×	`associate-+r+`
772×	`associate-+l+`
664×	`unswap-sqr`
558×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	830
1	260	830
2	1032	830
3	3482	830
4	6995	830

Stop Event

1×	node limit

Counts

56 → 66

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1/12 (pow.f64 eps 4)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/12 (pow.f64 eps 4)) (*.f64 -1/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/12 (pow.f64 eps 4)) (+.f64 (.f64 -1/45 (pow.f64 eps 6)) (.f64 -17/2520 (pow.f64 eps 8)))))
(*.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 0 (log.f64 (cos.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (log.f64 (cbrt.f64 (cos.f64 eps))))
(+.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) (log.f64 (sqrt.f64 (cos.f64 eps))))
(-.f64 (+.f64 1 (log.f64 (cos.f64 eps))) 1)
(*.f64 (log.f64 (cos.f64 eps)) 1)
(*.f64 1 (log.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) (sqrt.f64 (log.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2) (cbrt.f64 (log.f64 (cos.f64 eps))))
(pow.f64 (log.f64 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2))
(cbrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (log.f64 (cos.f64 eps))))
(log1p.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -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 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.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 1 (cos.f64 eps))))
(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))
(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 -1/2 (pow.f64 eps 2)) (.f64 -1/12 (pow.f64 eps 4)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 -1/12 (pow.f64 eps 4)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/12 (pow.f64 eps 4)) (*.f64 -1/45 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/12 (pow.f64 eps 4) (.f64 -1/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/12 (pow.f64 eps 4)) (+.f64 (.f64 -1/45 (pow.f64 eps 6)) (.f64 -17/2520 (pow.f64 eps 8)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/12 (pow.f64 eps 4) (fma.f64 -1/45 (pow.f64 eps 6) (.f64 -17/2520 (pow.f64 eps 8)))))
(*.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 (pow.f64 eps 4) 1/24 (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 4) 1/24))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (pow.f64 eps 8) 1/40320 (.f64 (pow.f64 eps 6) -1/720))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (pow.f64 eps 6) -1/720 (.f64 (pow.f64 eps 8) 1/40320))))
(-.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 0 (log.f64 (cos.f64 eps)))
(log.f64 (cos.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (log.f64 (cbrt.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(+.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) (log.f64 (sqrt.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(-.f64 (+.f64 1 (log.f64 (cos.f64 eps))) 1)
(log.f64 (cos.f64 eps))
(*.f64 (log.f64 (cos.f64 eps)) 1)
(log.f64 (cos.f64 eps))
(*.f64 1 (log.f64 (cos.f64 eps)))
(log.f64 (cos.f64 eps))
(*.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) (sqrt.f64 (log.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2))
(log.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2) (cbrt.f64 (log.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(pow.f64 (log.f64 (cos.f64 eps)) 1)
(log.f64 (cos.f64 eps))
(pow.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) 2)
(log.f64 (cos.f64 eps))
(pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 3)
(log.f64 (cos.f64 eps))
(pow.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3) 1/3)
(log.f64 (cos.f64 eps))
(sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2))
(log.f64 (cos.f64 eps))
(cbrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3))
(log.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(exp.f64 (log.f64 (log.f64 (cos.f64 eps))))
(log.f64 (cos.f64 eps))
(log1p.f64 (+.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) -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 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 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) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (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)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (cos.f64 eps))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
✓	1.3b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))

Compiler

Compiled 25 to 11 computations (56% saved)

series7.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
2.0ms	eps	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
2.0ms	eps	@	-inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
0.0ms	eps	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
0.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`*-commutative`
778×	`unswap-sqr`
520×	`swap-sqr`
412×	`associate-*r/`
402×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	232	29
2	2699	29

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1296×	`+-commutative`
1064×	`associate-+l-`
858×	`associate-+r-`
686×	`associate-r`
664×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	9764
1	1360	8782
2	5803	8778

Stop Event

1×	node limit

Counts

226 → 305

Calls

Call 1

Inputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
1
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) 1)
(+.f64 (.f64 -1/6 (pow.f64 eps 2)) (+.f64 (.f64 -1/72 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -1/6 (pow.f64 eps 2)) (+.f64 (.f64 -1/72 (pow.f64 eps 4)) (+.f64 1 (*.f64 -23/6480 (pow.f64 eps 6)))))
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (cos.f64 eps) 1/3)
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (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 (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 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)))
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(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x)))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x))))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))))
(pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (neg.f64 (+.f64 (cos.f64 eps) (cos.f64 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x)))))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) 3))
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(.f64 (.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cos.f64 eps) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) 3) (cbrt.f64 (cos.f64 eps)))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (cos.f64 eps))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (cbrt.f64 (cos.f64 eps))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (cbrt.f64 (cos.f64 eps))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))))
(.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)) (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)))
(.f64 (.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))) (.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/4))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) (exp.f64 (log1p.f64 (cos.f64 eps)))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1))
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) 1)
(*.f64 (cbrt.f64 (cos.f64 eps)) 1)
(.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cos.f64 eps) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (cos.f64 eps)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 eps)) 1)
(pow.f64 (cos.f64 eps) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2/3)
(pow.f64 (pow.f64 (cos.f64 eps) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 eps)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 eps))))

Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6)))) (cos.f64 x))
(fma.f64 1/24 (pow.f64 eps 4) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
(+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (.f64 x x) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (.f64 x x) -1)))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
1
(+.f64 (*.f64 -1/6 (pow.f64 eps 2)) 1)
(fma.f64 -1/6 (*.f64 eps eps) 1)
(fma.f64 (*.f64 eps eps) -1/6 1)
(+.f64 (.f64 -1/6 (pow.f64 eps 2)) (+.f64 (.f64 -1/72 (pow.f64 eps 4)) 1))
(fma.f64 -1/6 (*.f64 eps eps) (fma.f64 -1/72 (pow.f64 eps 4) 1))
(fma.f64 (*.f64 eps eps) -1/6 (fma.f64 (pow.f64 eps 4) -1/72 1))
(+.f64 (.f64 -1/6 (pow.f64 eps 2)) (+.f64 (.f64 -1/72 (pow.f64 eps 4)) (+.f64 1 (*.f64 -23/6480 (pow.f64 eps 6)))))
(fma.f64 -1/6 (.f64 eps eps) (+.f64 (fma.f64 -1/72 (pow.f64 eps 4) 1) (.f64 (pow.f64 eps 6) -23/6480)))
(fma.f64 (*.f64 eps eps) -1/6 (fma.f64 (pow.f64 eps 4) -1/72 (fma.f64 (pow.f64 eps 6) -23/6480 1)))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (cos.f64 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 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (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 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (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 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (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 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(fma.f64 2 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (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 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) 1))
(+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) 1))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) 1))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (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 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (-.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))
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(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 eps) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(+.f64 1 (-.f64 (cos.f64 eps) (exp.f64 (log1p.f64 (cos.f64 x)))))
(-.f64 (cos.f64 eps) (expm1.f64 (log1p.f64 (cos.f64 x))))
(*.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 1)
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 x))))
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(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (cos.f64 eps)))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))) (cbrt.f64 (cos.f64 eps))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (cos.f64 eps))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))))
(pow.f64 (cbrt.f64 (cos.f64 eps)) 1)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cos.f64 eps) 1/3)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2/3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(pow.f64 (pow.f64 (cos.f64 eps) 1/6) 2)
(cbrt.f64 (cos.f64 eps))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3)
(cbrt.f64 (cos.f64 eps))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 eps)))))
(cbrt.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.4b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))

Compiler

Compiled 48 to 10 computations (79.2% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite124.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`associate-*r/`
976×	`associate-*l/`
954×	`distribute-lft-in`
320×	`add-sqr-sqrt`
312×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	296	58
2	4011	42

Stop Event

1×	node limit

Counts

2 → 322

Calls

Call 1

Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 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 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 x) -1) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(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 (cos.f64 (-.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) -1) (+.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 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) 1)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (neg.f64 (cos.f64 x)) 1)) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) 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simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/l*`
986×	`associate-r`
860×	`associate-l`
688×	`associate-/r*`
574×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	739	24858
1	2202	24478

Stop Event

1×	node limit

Counts

354 → 481

Calls

Call 1

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

eval593.0ms (3.3%)

Compiler: Compiled 41902 to 15099 computations (64% saved)

prune477.0ms (2.6%)

Pruning

84 alts after pruning (72 fresh and 12 done)

	Pruned	Kept	Total
New	1489	37	1526
Fresh	20	35	55
Picked	0	1	1
Done	0	11	11
Total	1509	84	1593

Error

0.0b

Counts

1593 → 84

Alt Table

Click to see full alt table

Status	Error	Program
	6.1b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	24.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (-.f64 1 (cos.f64 x)))))
✓	24.3b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	38.4b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
	39.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
	41.9b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))) 2)
	6.9b	(pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))) 3)
	39.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	61.8b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))) 3)
	39.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	46.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (.f64 (cbrt.f64 (+.f64 (cos.f64 (-.f64 x eps)) (.f64 (cos.f64 x) -1))) (cbrt.f64 (+.f64 (cos.f64 (-.f64 x eps)) (.f64 (cos.f64 x) -1))))) (cbrt.f64 (+.f64 (cos.f64 (-.f64 x eps)) (.f64 (cos.f64 x) -1))))
	33.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	39.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	6.2b	(-.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
✓	24.2b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	56.9b	(-.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -1/6 1) 3) (cos.f64 x))
	6.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) 3) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	39.8b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
✓	39.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	39.4b	(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
	0.7b	(-.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	56.1b	(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) 1) 1)
	24.2b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	6.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	35.2b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	40.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	34.9b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	19.7b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	29.7b	(-.f64 (+.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x))) -1) (.f64 (sin.f64 x) (sin.f64 eps)))
	36.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
✓	56.1b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	31.9b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	31.8b	(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	6.2b	(-.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))) (.f64 (sin.f64 x) (sin.f64 eps)))
	0.6b	(-.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
✓	6.1b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	36.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 eps) x))
	28.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 eps (sin.f64 x)))
	32.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	6.2b	(-.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	6.2b	(-.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	24.3b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	38.4b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
	31.7b	(-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.1b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	39.3b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	44.5b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
✓	39.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.1b	(-.f64 (cos.f64 eps) 1)
	55.1b	(-.f64 1 (cos.f64 x))
	6.3b	(+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (.f64 2 (.f64 2 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
	6.2b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps)))))
	7.8b	(+.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)))
	6.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	18.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	40.3b	(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
	61.8b	(+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))
	41.3b	(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
	40.7b	(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))) (-.f64 (.f64 x (.f64 x (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)))) 1)))
	35.8b	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) -2)
	15.0b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	37.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	50.5b	(.f64 -1/2 (.f64 eps eps))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	61.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))
	39.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	24.4b	(log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
	61.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))
✓	39.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.7b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	55.1b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.5b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	46.5b	(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
	46.2b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
✓	46.5b	(expm1.f64 (log.f64 (cos.f64 eps)))
	46.5b	(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3)))
	50.4b	(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x))) 3))
	39.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	52.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) 3))
	56.0b	0

Compiler

Compiled 1246 to 873 computations (29.9% saved)

regimes248.0ms (1.4%)

Counts

156 → 1

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	eps
69.0ms	x
49.0ms	(-.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 2437 to 931 computations (61.8% saved)

regimes359.0ms (2%)

Counts

122 → 1

Calls

Call 1

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

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

Calls

3 calls:

190.0ms	eps
99.0ms	x
37.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 1456 to 581 computations (60.1% saved)

regimes416.0ms (2.3%)

Counts

121 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

175.0ms	x
169.0ms	eps
38.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1438 to 574 computations (60.1% saved)

bsearch105.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.003027026044306126	0.0053483389690290595
87.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

71.0ms	64×	body	1024	valid
16.0ms	122×	body	256	valid
9.0ms	32×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 570 to 406 computations (28.8% saved)

regimes404.0ms (2.2%)

Counts

112 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

185.0ms	eps
154.0ms	x
34.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1301 to 523 computations (59.8% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.003027026044306126	0.0053483389690290595
47.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

29.0ms	56×	body	1024	valid
17.0ms	129×	body	256	valid
8.0ms	33×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 570 to 406 computations (28.8% saved)

regimes330.0ms (1.8%)

Counts

104 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

134.0ms	eps
130.0ms	x
32.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1184 to 491 computations (58.5% saved)

bsearch59.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.003027026044306126	0.0053483389690290595
43.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

25.0ms	62×	body	1024	valid
17.0ms	123×	body	256	valid
9.0ms	33×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 570 to 406 computations (28.8% saved)

regimes365.0ms (2%)

Counts

103 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

178.0ms	x
125.0ms	eps
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1170 to 490 computations (58.1% saved)

bsearch84.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.003027026044306126	0.0053483389690290595
67.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

33.0ms	32×	body	512	valid
27.0ms	68×	body	1024	valid
16.0ms	118×	body	256	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 560 to 416 computations (25.7% saved)

regimes302.0ms (1.7%)

Counts

101 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

123.0ms	eps
119.0ms	x
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1143 to 482 computations (57.8% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.003027026044306126	0.0053483389690290595
39.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

22.0ms	59×	body	1024	valid
19.0ms	129×	body	256	valid
8.0ms	33×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 560 to 416 computations (25.7% saved)

regimes537.0ms (3%)

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

300.0ms	eps
184.0ms	x
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
6.1b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1017 to 415 computations (59.2% saved)

bsearch118.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	1.1257283327714352e-5	0.003027026044306126
65.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

48.0ms	154×	body	256	valid
35.0ms	95×	body	1024	valid
25.0ms	32×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 716 to 496 computations (30.7% saved)

regimes223.0ms (1.2%)

Counts

91 → 1

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	x
64.0ms	eps
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
15.0b	1	`x`
15.0b	1	`eps`
15.0b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 955 to 390 computations (59.2% saved)

regimes181.0ms (1%)

Counts

28 → 3

Calls

Call 1

Inputs
0
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) 1) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (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 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) -2)

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

Calls

3 calls:

119.0ms	x
38.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
17.4b	5	`x`
14.6b	3	`eps`
15.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 237 to 115 computations (51.5% saved)

bsearch86.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	0.003027026044306126	0.0053483389690290595
37.0ms	-25352.13465501186	-0.2738247064686068

Results

47.0ms	103×	body	256	valid
21.0ms	58×	body	1024	valid
10.0ms	41×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 322 to 231 computations (28.3% saved)

regimes106.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
0
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) 1) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (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 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))

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

Calls

3 calls:

47.0ms	x
37.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.4b	3	`x`
14.9b	3	`eps`
15.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 209 to 101 computations (51.7% saved)

bsearch52.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.003027026044306126	0.0053483389690290595
36.0ms	-25352.13465501186	-0.2738247064686068

Results

21.0ms	47×	body	1024	valid
17.0ms	128×	body	256	valid
7.0ms	28×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 283 to 205 computations (27.6% saved)

regimes73.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
0
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) 1) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))

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

Calls

2 calls:

46.0ms	x
24.0ms	eps

Results

Error	Segments	Branch
22.4b	7	`x`
15.2b	3	`eps`

Compiler

Compiled 83 to 50 computations (39.8% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.003027026044306126	0.0053483389690290595
36.0ms	-25352.13465501186	-0.2738247064686068

Results

25.0ms	62×	body	1024	valid
15.0ms	113×	body	256	valid
8.0ms	28×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

regimes51.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
0
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(-.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) 1) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))

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

Calls

2 calls:

29.0ms	x
20.0ms	eps

Results

Error	Segments	Branch
24.1b	5	`x`
20.6b	3	`eps`

Compiler

Compiled 68 to 43 computations (36.8% saved)

bsearch60.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.003027026044306126	0.0053483389690290595
44.0ms	-25352.13465501186	-0.2738247064686068

Results

32.0ms	58×	body	1024	valid
17.0ms	124×	body	256	valid
6.0ms	23×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 209 to 166 computations (20.6% saved)

regimes22.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
39.1b	1	`x`
33.6b	3	`eps`

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch65.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.6996670334671133e-9	1.8479258099231606e-8
40.0ms	-0.2738247064686068	-1.7618854298681658e-12

Results

28.0ms	73×	body	1024	valid
20.0ms	137×	body	256	valid
9.0ms	39×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total -6.6b remaining (-13.1%)

Threshold costs -6.6b (-13.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
50.5b	1	`x`
50.5b	1	`eps`

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`+-commutative`
56×	`*-commutative`
26×	`sub-neg`
22×	`cancel-sign-sub-inv`
16×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1386
1	188	1386
2	222	1386
3	235	1386
4	240	1386

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6456360425798343/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7839866231326559/2305843009213693952) (-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7148113328562451/2305843009213693952) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4842270319348757/1152921504606846976) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5440166188265831/302231454903657293676544) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(.f64 -1/2 (.f64 eps eps))
0

Outputs
(-.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (or (<=.f64 eps -3112888062438487/576460752303423488) (not (<=.f64 eps 1498797955988901/288230376151711744))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -3112888062438487/576460752303423488) (not (<=.f64 eps 1498797955988901/288230376151711744))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3112888062438487/576460752303423488) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 1498797955988901/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -3112888062438487/576460752303423488) (not (<=.f64 eps 1498797955988901/288230376151711744))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6456360425798343/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -6124319032471571/36893488147419103232) (not (<=.f64 eps 6456360425798343/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps (.f64 (sin.f64 x) 1/6)))) (.f64 eps (sin.f64 x))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7839866231326559/2305843009213693952) (-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7839866231326559/2305843009213693952) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x))) (+.f64 -1 (cos.f64 eps))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7148113328562451/2305843009213693952) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7148113328562451/2305843009213693952) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (+.f64 -1 (cos.f64 eps))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4842270319348757/1152921504606846976) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -1261007895663739/4503599627370496) (not (<=.f64 eps 4842270319348757/1152921504606846976))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -1261007895663739/4503599627370496) (not (<=.f64 eps 7148113328562451/2305843009213693952))) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -6124319032471571/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5440166188265831/302231454903657293676544) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -6124319032471571/36893488147419103232) (not (<=.f64 eps 5440166188265831/302231454903657293676544))) (+.f64 -1 (cos.f64 eps)) (.f64 -1/2 (.f64 eps eps)))
(.f64 -1/2 (.f64 eps eps))
0

Compiler

Compiled 501 to 314 computations (37.3% saved)

soundness245.0ms (1.4%)

Algorithm

3×	egg-herbie

Rules

1320×	`associate-r`
1320×	`associate-r`
1250×	`associate-l`
1250×	`associate-l`
1010×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545
0	829	23178
1	2247	21630
0	844	22979
1	2513	22545

Stop Event

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

Compiler

Compiled 472 to 165 computations (65% saved)

end197.0ms (1.1%)

Compiler: Compiled 471 to 217 computations (53.9% 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