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)

sample4.4s (25.4%)

Results

1.9s	3979×	body	1024	valid
1.9s	2149×	body	2048	valid
476.0ms	1364×	body	512	valid
129.0ms	763×	body	256	valid
1.0ms	1×	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)

simplify19.0ms (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

41.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	5.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite132.0ms (0.8%)

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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simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval96.0ms (0.6%)

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

prune92.0ms (0.5%)

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
	31.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	49.2b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.6b	(/.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))))))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.6b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	25.5b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	31.5b	(-.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)))
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.7b	(-.f64 (/.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)))))) (cos.f64 x))
	25.6b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	25.6b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	56.1b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	25.6b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	56.0b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	42.9b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
▶	25.6b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	41.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.9b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	41.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.5b	(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
	41.5b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	56.6b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.3b	(-.f64 (cos.f64 eps) 1)
	41.6b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
▶	7.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	25.6b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	31.7b	(+.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))))))
	41.6b	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.1b	(*.f64 (neg.f64 eps) (sin.f64 x))
	41.5b	(.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)))))))
	34.9b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x)))))
	16.3b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	41.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	56.1b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	48.5b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.6b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1487 to 906 computations (39.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.0b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series10.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	x	@	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)))

rewrite125.0ms (0.7%)

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) 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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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simplify179.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	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)))))

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	2.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

18 calls:

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

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`*-commutative`
930×	`associate-*r/`
766×	`associate-*l/`
766×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	221	59
2	3125	59

Stop Event

1×	node limit

Counts

3 → 293

Calls

Call 1

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

Outputs

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

simplify170.0ms (1%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-r`
750×	`associate-/l*`
734×	`+-commutative`
706×	`associate-l`
688×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	730	22199
1	2137	20669

Stop Event

1×	node limit

Counts

337 → 467

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
✓	0.4b	(expm1.f64 (cos.f64 (+.f64 x eps)))
	5.3b	(cos.f64 (+.f64 x eps))
✓	6.0b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	-inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

simplify292.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

255 → 339

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 9 computations (75.7% saved)

series37.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	eps	@	0	(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
0.0ms	eps	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`distribute-rgt-in`
772×	`associate-*r/`
740×	`distribute-lft-in`
668×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	272	57
2	3575	57

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

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

simplify230.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-+r+`
1174×	`+-commutative`
838×	`fma-def`
812×	`associate-r`
686×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	14693
1	1441	14287
2	7100	14287

Stop Event

1×	node limit

Counts

235 → 324

Calls

Call 1

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

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

eval923.0ms (5.3%)

Compiler: Compiled 53581 to 16124 computations (69.9% saved)

prune641.0ms (3.7%)

Pruning

67 alts after pruning (64 fresh and 3 done)

	Pruned	Kept	Total
New	1852	51	1903
Fresh	23	13	36
Picked	0	1	1
Done	3	2	5
Total	1878	67	1945

Error

0.1b

Counts

1945 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	39.8b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	25.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	50.5b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
▶	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	41.5b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.6b	(/.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 x) (cos.f64 (+.f64 eps x))) (+.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
	25.6b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	25.8b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 2)) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
	41.5b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	34.6b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	34.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.6b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	25.5b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.9b	(-.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))))
	7.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.9b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	61.9b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	57.6b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	31.3b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x)))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	25.6b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	33.2b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))
	25.7b	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1))
	25.6b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
	41.5b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	25.6b	(-.f64 (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	41.0b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	25.9b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	41.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.3b	(-.f64 (cos.f64 eps) 1)
	41.6b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	55.3b	(-.f64 1 (cos.f64 x))
	31.7b	(+.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))))
	8.0b	(+.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))))
	8.0b	(+.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2)) (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.1b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2))) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.4b	(+.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)))
	18.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
▶	7.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	25.6b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	36.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(+.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)))
▶	7.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	54.3b	(*.f64 (neg.f64 eps) x)
	50.1b	(.f64 -1/2 (.f64 eps eps))
	16.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
▶	55.5b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	58.0b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.4b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	41.3b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	48.5b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.6b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 2280 to 1488 computations (34.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	eps	@	-inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

rewrite118.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify198.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
✓	0.2b	(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
	3.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`add-sqr-sqrt`
1726×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1596×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	209	28
2	2175	28

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1094×	`unswap-sqr`
1008×	`associate-+r-`
996×	`fma-def`
902×	`+-commutative`
756×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2548
1	493	2440
2	2128	2268
3	7597	2268

Stop Event

1×	node limit

Counts

94 → 119

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 eps 4))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (.f64 1/320 (pow.f64 eps 8)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(*.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 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) -1))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 -1 (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (+.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (pow.f64 1 1/2) (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 1/2))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(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)
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (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))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/2))
(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 1/4 (pow.f64 eps 4))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (.f64 -1/24 (pow.f64 eps 6)))
(fma.f64 1/4 (pow.f64 eps 4) (*.f64 -1/24 (pow.f64 eps 6)))
(fma.f64 -1/24 (pow.f64 eps 6) (*.f64 1/4 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 1/320 (pow.f64 eps 8))))
(fma.f64 -1/24 (pow.f64 eps 6) (fma.f64 1/4 (pow.f64 eps 4) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (.f64 1/4 (pow.f64 eps 4)) (+.f64 (.f64 -1/24 (pow.f64 eps 6)) (.f64 1/320 (pow.f64 eps 8)))))
(fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 1/320 (pow.f64 eps 8)))))
(fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 -1/24 (pow.f64 eps 6) (fma.f64 1/4 (pow.f64 eps 4) (*.f64 1/320 (pow.f64 eps 8)))))
(fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 1/320 (pow.f64 eps 8)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 4) 1/24))
(fma.f64 eps (.f64 eps -1/2) (.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 (pow.f64 eps 6) -1/720 (.f64 eps (.f64 eps -1/2))))
(fma.f64 eps (.f64 eps -1/2) (fma.f64 (pow.f64 eps 6) -1/720 (.f64 (pow.f64 eps 4) 1/24)))
(+.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 6) -1/720 (.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 eps (.f64 eps -1/2) (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 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) -1) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(+.f64 (.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)) (.f64 -1 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(+.f64 (.f64 -1 (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (/.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)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1)))
(/.f64 (.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1)))
(/.f64 (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1)))
(/.f64 (.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 3))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(-.f64 (exp.f64 (log1p.f64 (+.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 (fma.f64 (cos.f64 eps) (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 (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 (+.f64 -1 (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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (fabs.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 1 1/2) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (fabs.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 (cos.f64 eps) (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 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 (+.f64 -1 (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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (+.f64 -1 (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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.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 (+.f64 -1 (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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) -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 (+.f64 -1 (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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.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 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)
(+.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)
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/2))
(+.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)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	0.6b	(cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	0.6b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	5.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series22.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
2.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-*r/`
896×	`distribute-rgt-in`
876×	`distribute-lft-in`
852×	`associate-*l/`
294×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	275	67
2	3589	67

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify270.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-r`
1024×	`associate-l`
838×	`*-commutative`
802×	`fma-def`
488×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	23533
1	2039	22861

Stop Event

1×	node limit

Counts

309 → 276

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sin.f64 x) 2)
✓	0.3b	(/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))
	3.0b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
✓	12.8b	(/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))

Compiler

Compiled 79 to 30 computations (62% saved)

series2.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))
0.0ms	x	@	-inf	(pow.f64 (sin.f64 x) 2)
0.0ms	x	@	inf	(pow.f64 (sin.f64 x) 2)

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-/l*`
1414×	`associate-*r/`
1096×	`*-commutative`
936×	`associate-*l/`
576×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	255	63
2	3468	63

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

Inputs
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)

Outputs

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

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-+r+`
830×	`associate-r`
698×	`associate-/l*`
678×	`associate-*r/`
668×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	7014
1	1538	6422
2	6733	6422

Stop Event

1×	node limit

Counts

292 → 348

Calls

Call 1

Inputs
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 x 3)) (.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.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 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))) 1)
(-.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1)
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) -1) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -1) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2) 1) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (sin.f64 x) (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 -1 (/.f64 1 (sin.f64 x))) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
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(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))) 1)
(+.f64 -1/2 (.f64 1/2 (cos.f64 (.f64 x 2))))
(-.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))) 1)
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) -1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) -1))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 -1 (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) -1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 -1 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (*.f64 -1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) 1) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) -1) (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) -1) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) -1) 2)
(neg.f64 (pow.f64 (sin.f64 x) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))

Outputs
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(fma.f64 -1/6 x (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/6 (/.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/360 (pow.f64 x 3)) (.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6)) (/.f64 1 x))
(fma.f64 -7/360 (pow.f64 x 3) (fma.f64 x -1/6 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(-.f64 (fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6))) (/.f64 1 x))
(fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (fma.f64 x -1/6 (/.f64 -1 x))))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(/.f64 -1 (sin.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (neg.f64 (.f64 (sin.f64 x) eps)))
(.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (neg.f64 (*.f64 (sin.f64 x) eps))))
(-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 -1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) eps))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (neg.f64 (.f64 (sin.f64 x) eps)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 -1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/120 (pow.f64 eps 5)) (neg.f64 eps))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (*.f64 1/5040 (pow.f64 eps 7)))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)) (neg.f64 (.f64 x (sin.f64 eps))))
(.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6)))
(+.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 -1 (.f64 x (sin.f64 eps)))))
(fma.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)) (neg.f64 (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 5) -1/120) (.f64 (pow.f64 x 3) 1/6))) (.f64 x (sin.f64 eps)))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(fma.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps)) (fma.f64 1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)) (neg.f64 (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 3) 1/6))) (.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 5) -1/120) (*.f64 1/5040 (pow.f64 x 7)))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(+.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))) 1)
(/.f64 -1 (sin.f64 x))
(-.f64 0 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))) 1)
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) 1)
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 -1 (sin.f64 x))
(*.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)))
(/.f64 -1 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))))
(/.f64 -1 (sin.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
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(*.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 eps) (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2))))
(/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 2)) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sin.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (/.f64 (sin.f64 eps) (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (/.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (/.f64 (sin.f64 x) -1)) (pow.f64 (sin.f64 x) 2))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 1)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))) 3)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 3) 1/3)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 eps))) -1)
(*.f64 (sin.f64 x) (sin.f64 eps))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps))) 3))
(*.f64 (sin.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))) 1)
(neg.f64 (pow.f64 (sin.f64 x) 2))
(+.f64 -1/2 (.f64 1/2 (cos.f64 (.f64 x 2))))
(+.f64 -1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(fma.f64 (cos.f64 (+.f64 x x)) 1/2 -1/2)
(-.f64 0 (pow.f64 (sin.f64 x) 2))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 x 2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (sin.f64 x) 2)
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) -1)
(neg.f64 (pow.f64 (sin.f64 x) 2))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) -1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 -1 (pow.f64 (sin.f64 x) 2))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) -1) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (sin.f64 x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(*.f64 2 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2)))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) (pow.f64 (sin.f64 x) 2))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (sin.f64 x) 2) 0)))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (sin.f64 x) 4))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 -1 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 -1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -2)
(*.f64 -1/2 (-.f64 1 (cos.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) 1) (pow.f64 (sin.f64 x) 2))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) 1) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 1) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 4)) -1) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) -1) (+.f64 (+.f64 0 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 (sin.f64 x) 2) 0)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) -1) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) -2)
(*.f64 -1/2 (-.f64 1 (cos.f64 (+.f64 x x))))
(neg.f64 (pow.f64 (sin.f64 x) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)

eval695.0ms (4%)

Compiler: Compiled 52380 to 24763 computations (52.7% saved)

prune674.0ms (3.9%)

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	1609	33	1642
Fresh	23	36	59
Picked	1	0	1
Done	4	3	7
Total	1637	72	1709

Error

0.0b

Counts

1709 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	25.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	50.5b	(fma.f64 eps (.f64 eps -1/2) (.f64 (pow.f64 eps 4) 1/24))
	61.0b	(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 1/3) 3)
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 eps))) 3)
	41.5b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	25.6b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	41.5b	(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
	34.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.5b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	7.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.9b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	7.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	31.3b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x)))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	33.2b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))
	25.7b	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1))
	41.5b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	25.6b	(-.f64 (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	41.0b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	25.9b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	41.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.3b	(-.f64 (cos.f64 eps) 1)
	41.6b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	55.3b	(-.f64 1 (cos.f64 x))
	8.0b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	10.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))))
	7.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 -1 (sin.f64 x))))
	17.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (.f64 (/.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))))
	7.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
	7.7b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.7b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.0b	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	0.7b	(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	18.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	32.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
	0.7b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	7.8b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.5b	(+.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 eps x) (neg.f64 eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))))
	38.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	54.3b	(*.f64 (neg.f64 eps) x)
	61.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 (cos.f64 (/.f64 eps 2)) 2))
▶	50.1b	(.f64 eps (.f64 eps -1/2))
	61.8b	(*.f64 2 (cos.f64 x))
	16.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	58.0b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.4b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	41.3b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.5b	(fabs.f64 (+.f64 (cos.f64 eps) -1))
	48.5b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	41.6b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
	61.0b	(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))

Compiler

Compiled 2161 to 1531 computations (29.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 32 computations (54.9% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`associate-*r/`
1058×	`associate-/r*`
940×	`*-commutative`
808×	`associate-/l*`
762×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	235	33
2	2947	33

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/l*`
1142×	`associate-r`
882×	`associate-/r*`
866×	`associate-l`
522×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	8888
1	1551	8678

Stop Event

1×	node limit

Counts

272 → 342

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 (cos.f64 eps) -1))
✓	2.9b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	3.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 89

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
✓	0.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
	2.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	5.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 40 to 12 computations (70% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
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	eps	@	inf	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)

rewrite166.0ms (1%)

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

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

simplify258.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1304×	`associate-/l*`
1250×	`associate-l`
846×	`distribute-lft-in`
800×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	869	28115
1	2524	27947

Stop Event

1×	node limit

Counts

359 → 524

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.3b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
✓	0.4b	(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
	3.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 67 to 34 computations (49.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
0.0ms	eps	@	-inf	(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
0.0ms	eps	@	0	(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
0.0ms	eps	@	0	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
0.0ms	eps	@	inf	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1672×	`add-cube-cbrt`
1658×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	211	28
2	2256	28

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Outputs

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1120×	`unswap-sqr`
818×	`associate-*r/`
746×	`fma-def`
626×	`associate-*l/`
598×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2240
1	477	2162
2	1699	2018
3	5851	2018

Stop Event

1×	node limit

Counts

94 → 112

Calls

Call 1

Inputs
(*.f64 -1/8 (pow.f64 eps 6))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (.f64 -1/8 (pow.f64 eps 6)))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (+.f64 (.f64 -7/1920 (pow.f64 eps 10)) (*.f64 -1/8 (pow.f64 eps 6))))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (+.f64 (.f64 -7/1920 (pow.f64 eps 10)) (+.f64 (.f64 -1/8 (pow.f64 eps 6)) (.f64 1/3780 (pow.f64 eps 12)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(*.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 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1))
(+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2))
(.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (cos.f64 eps) -1))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (+.f64 (cos.f64 eps) -1))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 3) (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (+.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 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3))
(*.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 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 eps) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3))
(/.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 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(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))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/3))
(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 -1/8 (pow.f64 eps 6))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (.f64 -1/8 (pow.f64 eps 6)))
(fma.f64 1/32 (pow.f64 eps 8) (*.f64 -1/8 (pow.f64 eps 6)))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (+.f64 (.f64 -7/1920 (pow.f64 eps 10)) (*.f64 -1/8 (pow.f64 eps 6))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -7/1920 (pow.f64 eps 10) (*.f64 -1/8 (pow.f64 eps 6))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -1/8 (pow.f64 eps 6) (*.f64 -7/1920 (pow.f64 eps 10))))
(fma.f64 -1/8 (pow.f64 eps 6) (fma.f64 1/32 (pow.f64 eps 8) (*.f64 -7/1920 (pow.f64 eps 10))))
(+.f64 (.f64 1/32 (pow.f64 eps 8)) (+.f64 (.f64 -7/1920 (pow.f64 eps 10)) (+.f64 (.f64 -1/8 (pow.f64 eps 6)) (.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -7/1920 (pow.f64 eps 10) (fma.f64 -1/8 (pow.f64 eps 6) (*.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -7/1920 (pow.f64 eps 10) (fma.f64 1/3780 (pow.f64 eps 12) (*.f64 -1/8 (pow.f64 eps 6)))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -1/8 (pow.f64 eps 6) (fma.f64 -7/1920 (pow.f64 eps 10) (*.f64 1/3780 (pow.f64 eps 12)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -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 1/24 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 6) -1/720 (.f64 eps (.f64 eps -1/2))))
(fma.f64 (pow.f64 eps 6) -1/720 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -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 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (pow.f64 eps 6) -1/720 (.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 6) -1/720 (fma.f64 (pow.f64 eps 8) 1/40320 (.f64 eps (.f64 eps -1/2)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(+.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(+.f64 (.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(+.f64 (.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 3) (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.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 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1))))
(/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (/.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 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 3) (pow.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 3))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(-.f64 (exp.f64 (log1p.f64 (+.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 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3))
(+.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 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (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 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2)))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (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 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.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)
(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)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(+.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)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/3))
(+.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)

eval810.0ms (4.6%)

Compiler: Compiled 47634 to 20816 computations (56.3% saved)

prune695.0ms (4%)

Pruning

76 alts after pruning (69 fresh and 7 done)

	Pruned	Kept	Total
New	1675	14	1689
Fresh	9	55	64
Picked	0	1	1
Done	1	6	7
Total	1685	76	1761

Error

0.0b

Counts

1761 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	25.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	50.5b	(fma.f64 eps (.f64 eps -1/2) (.f64 (pow.f64 eps 4) 1/24))
	61.0b	(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 1/3) 3)
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 eps))) 3)
	41.5b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	25.6b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (-.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps))))))
	41.5b	(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
	34.7b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.5b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	7.7b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.9b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	40.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	7.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	31.3b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x)))
	25.6b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	33.2b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))
	25.7b	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1))
	41.5b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	41.0b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	25.9b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	41.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.0b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.3b	(-.f64 (cos.f64 eps) 1)
	41.6b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
	55.3b	(-.f64 1 (cos.f64 x))
	7.7b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	10.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))))))
	7.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 -1 (sin.f64 x))))
	7.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
	7.7b	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.2b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.7b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.0b	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.7b	(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (.f64 (cos.f64 x) (/.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 eps eps)))) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	18.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	32.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
	0.7b	(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.7b	(+.f64 (.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (-.f64 -1 (cos.f64 eps))) (sin.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.9b	(+.f64 (.f64 (cos.f64 x) (.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.8b	(+.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	7.8b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.5b	(+.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 eps x) (neg.f64 eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))))
	16.3b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	38.1b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	54.3b	(*.f64 (neg.f64 eps) x)
	41.7b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	61.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 (cos.f64 (/.f64 eps 2)) 2))
✓	50.1b	(.f64 eps (.f64 eps -1/2))
	61.8b	(*.f64 2 (cos.f64 x))
	41.8b	(.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 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))
	58.0b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.4b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	41.5b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
	41.4b	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	41.3b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	56.6b	(log.f64 1)
	55.5b	(fabs.f64 (+.f64 (cos.f64 eps) -1))
	48.5b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	48.9b	(cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))) 3))
	41.1b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	20.8b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) 3))
	61.0b	(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))

Compiler

Compiled 1151 to 817 computations (29% saved)

regimes232.0ms (1.3%)

Counts

140 → 1

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
64.0ms	eps
44.0ms	(-.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 2279 to 850 computations (62.7% saved)

regimes178.0ms (1%)

Counts

103 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	eps
46.0ms	x
38.0ms	(-.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 1227 to 494 computations (59.7% saved)

regimes307.0ms (1.8%)

Counts

102 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

128.0ms	x
123.0ms	eps
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	3	`x`
0.6b	3	`eps`
7.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1208 to 487 computations (59.7% saved)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.5292454112276517e-5	21692.61943972875
39.0ms	-223720.6892423985	-0.0002333660698680301

Results

37.0ms	97×	body	1024	valid
17.0ms	135×	body	256	valid
12.0ms	51×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 725 to 523 computations (27.9% saved)

regimes355.0ms (2%)

Counts

93 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

188.0ms	x
119.0ms	eps
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	3	`x`
0.6b	3	`eps`
7.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1063 to 435 computations (59.1% saved)

bsearch139.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.5292454112276517e-5	21692.61943972875
76.0ms	-223720.6892423985	-0.0002333660698680301

Results

72.0ms	82×	body	1024	valid
22.0ms	158×	body	256	valid
10.0ms	43×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 725 to 523 computations (27.9% saved)

regimes500.0ms (2.9%)

Counts

88 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

267.0ms	x
152.0ms	eps
60.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	3	`x`
0.7b	3	`eps`
7.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 966 to 397 computations (58.9% saved)

bsearch95.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.5292454112276517e-5	21692.61943972875
54.0ms	-0.0002333660698680301	-4.770610538660954e-8

Results

57.0ms	73×	body	1024	valid
19.0ms	148×	body	256	valid
11.0ms	47×	body	512	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 592 to 435 computations (26.5% saved)

regimes236.0ms (1.3%)

Counts

75 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

158.0ms	eps
36.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.3b	1	`x`
14.7b	3	`eps`
16.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 756 to 330 computations (56.3% saved)

bsearch77.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.5292454112276517e-5	21692.61943972875
34.0ms	-223720.6892423985	-0.0002333660698680301

Results

28.0ms	77×	body	1024	valid
23.0ms	162×	body	256	valid
18.0ms	43×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 626 to 460 computations (26.5% saved)

regimes151.0ms (0.9%)

Counts

71 → 1

Calls

Call 1

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

79.0ms	eps
35.0ms	x
21.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.3b	1	`x`
16.3b	1	`eps`
16.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 704 to 317 computations (55% saved)

regimes46.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	eps
14.0ms	x
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.3b	1	`x`
16.3b	1	`eps`
16.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 219 to 111 computations (49.3% saved)

regimes106.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	eps
34.0ms	x
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.3b	3	`x`
15.4b	3	`eps`
16.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 200 to 100 computations (50% saved)

bsearch85.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	2.5292454112276517e-5	21692.61943972875
38.0ms	-223720.6892423985	-0.0002333660698680301

Results

42.0ms	104×	body	1024	valid
20.0ms	137×	body	256	valid
11.0ms	11×	body	2048	valid
9.0ms	36×	body	512	valid

Compiler

Compiled 446 to 316 computations (29.1% saved)

regimes121.0ms (0.7%)

Counts

22 → 4

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	x
42.0ms	eps
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.0b	5	`x`
21.0b	4	`eps`
23.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 153 to 72 computations (52.9% saved)

bsearch137.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
45.0ms	3.875432914824336e-7	2.5292454112276517e-5
60.0ms	-1.7080377535217766e-53	-8.697828651052927e-64
32.0ms	-0.0002333660698680301	-4.770610538660954e-8

Results

72.0ms	142×	body	1024	valid
27.0ms	101×	body	512	valid
18.0ms	136×	body	256	valid
13.0ms	21×	body	2048	valid

Compiler

Compiled 414 to 310 computations (25.1% saved)

regimes56.0ms (0.3%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
24.0ms	eps

Results

Error	Segments	Branch
25.3b	5	`x`
21.6b	4	`eps`

Compiler

Compiled 51 to 30 computations (41.2% saved)

bsearch123.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
30.0ms	3.875432914824336e-7	2.5292454112276517e-5
60.0ms	-1.7080377535217766e-53	-8.697828651052927e-64
33.0ms	-0.0002333660698680301	-4.770610538660954e-8

Results

53.0ms	110×	body	1024	valid
32.0ms	127×	body	512	valid
19.0ms	145×	body	256	valid
13.0ms	18×	body	2048	valid

Compiler

Compiled 399 to 310 computations (22.3% saved)

regimes39.0ms (0.2%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
40.1b	3	`x`
33.0b	5	`eps`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch210.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	2.5292454112276517e-5	21692.61943972875
43.0ms	3.0391695048552323e-122	2.909693103558431e-121
96.0ms	-2.536705262714244e-167	-7.479230848853101e-181
38.0ms	-0.0002333660698680301	-4.770610538660954e-8

Results

84.0ms	125×	body	2048	valid
80.0ms	199×	body	1024	valid
26.0ms	156×	body	256	valid
13.0ms	48×	body	512	valid

Compiler

Compiled 509 to 390 computations (23.4% saved)

regimes27.0ms (0.2%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
48.9b	2	`x`
47.3b	4	`eps`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch174.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
35.0ms	135312940516.9801	4083697855493698000.0
43.0ms	3.0391695048552323e-122	2.909693103558431e-121
96.0ms	-2.536705262714244e-167	-7.479230848853101e-181

Results

86.0ms	125×	body	2048	valid
63.0ms	164×	body	1024	valid
12.0ms	86×	body	256	valid
8.0ms	25×	body	512	valid

Compiler

Compiled 389 to 294 computations (24.4% saved)

regimes66.0ms (0.4%)

Accuracy

Total -14.5b remaining (-30%)

Threshold costs -14.5b (-30%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	x
12.0ms	eps

Results

Error	Segments	Branch
48.9b	2	`x`
48.4b	3	`eps`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch164.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	3.0391695048552323e-122	2.909693103558431e-121
119.0ms	-2.536705262714244e-167	-7.479230848853101e-181

Results

95.0ms	129×	body	2048	valid
65.0ms	125×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative`
54×	`+-commutative`
28×	`sub-neg`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1265
1	217	1237
2	253	1237
3	268	1237
4	273	1237

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (-.f64 -1 (cos.f64 eps))) (sin.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 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 6456360425798343/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6456360425798343/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3412647653636267/18446744073709551616) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3314649325744685/288230376151711744) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 1261007895663739/36028797018963968) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (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))))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -5188146770730811/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/576460752303423488) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5718490662849961/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 7673845534663173/590295810358705651712) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 4722366482869645/2361183241434822606848) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 8931394244144417/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (if (<=.f64 eps 3412647653636267/18446744073709551616) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (if (<=.f64 eps 210000000000000) (.f64 -1/2 (*.f64 eps eps)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 5116944619041073/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (.f64 -1/2 (*.f64 eps eps))))
(*.f64 (neg.f64 eps) x)

Outputs
(+.f64 (.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (-.f64 -1 (cos.f64 eps))) (sin.f64 eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (-.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (-.f64 -1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 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 6456360425798343/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.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 6456360425798343/1152921504606846976) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(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 6456360425798343/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 6456360425798343/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 6456360425798343/1152921504606846976) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -208967022709991/36028797018963968) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 6456360425798343/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3412647653636267/18446744073709551616) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -6640827866535439/36893488147419103232) (not (<=.f64 eps 3412647653636267/18446744073709551616))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))))
(if (or (<=.f64 eps -6640827866535439/36893488147419103232) (not (<=.f64 eps 3412647653636267/18446744073709551616))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3314649325744685/288230376151711744) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 1261007895663739/36028797018963968) (+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (or (<=.f64 eps -3314649325744685/288230376151711744) (not (<=.f64 eps 1261007895663739/36028797018963968))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))))
(if (or (<=.f64 eps -3314649325744685/288230376151711744) (not (<=.f64 eps 1261007895663739/36028797018963968))) (-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (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))))))
(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -5188146770730811/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/576460752303423488) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -5188146770730811/144115188075855872) (not (<=.f64 eps 8070450532247929/576460752303423488))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -5718490662849961/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 7673845534663173/590295810358705651712) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -5718490662849961/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 7673845534663173/590295810358705651712) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 4722366482869645/2361183241434822606848) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 4722366482869645/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 8931394244144417/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (if (<=.f64 eps 3412647653636267/18446744073709551616) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -6640827866535439/36893488147419103232) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 8931394244144417/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 3412647653636267/18446744073709551616) (.f64 -1/2 (*.f64 eps eps)) (+.f64 -1 (cos.f64 eps))))))
(if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (if (<=.f64 eps 210000000000000) (.f64 -1/2 (*.f64 eps eps)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 210000000000000) (.f64 -1/2 (*.f64 eps eps)) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 5116944619041073/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (neg.f64 eps) x) (.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -6639224910209589/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (not (<=.f64 eps 5116944619041073/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968))) (.f64 -1/2 (.f64 eps eps)) (*.f64 x (neg.f64 eps)))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))

Compiler

Compiled 462 to 286 computations (38.1% saved)

soundness149.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Compiler

Compiled 63 to 37 computations (41.3% saved)

end207.0ms (1.2%)

Compiler: Compiled 434 to 199 computations (54.1% 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