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)

sample3.8s (22.5%)

Results

1.7s	3901×	body	1024	valid
1.6s	2123×	body	2048	valid
378.0ms	1414×	body	512	valid
142.0ms	817×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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))

rewrite110.0ms (0.7%)

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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simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval103.0ms (0.6%)

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

prune109.0ms (0.6%)

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	243	43	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	44	287

Error

0.1b

Counts

287 → 44

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.7b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	36.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	36.5b	(/.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)))
	36.4b	(/.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)))))
	36.5b	(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	36.4b	(/.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))))
	36.6b	(/.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))))))
	36.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	21.1b	(-.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))
▶	21.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	35.9b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
▶	36.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	21.2b	(-.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))
	21.1b	(-.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))
	56.3b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	21.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	56.1b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	37.3b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	34.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	21.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	36.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	36.4b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.7b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	36.5b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	36.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 x))
	35.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	35.8b	(-.f64 (cos.f64 eps) 1)
	36.6b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	37.6b	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
	34.7b	(+.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
▶	6.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	21.1b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	36.3b	(+.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))))))
	36.6b	(*.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))))
	36.4b	(.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)))
	30.4b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	41.7b	(*.f64 (neg.f64 eps) (sin.f64 x))
	36.6b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	15.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	36.4b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	36.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	43.6b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	36.5b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1667 to 1008 computations (39.5% saved)

localize55.0ms (0.3%)

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)))
✓	2.0b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series8.0ms (0%)

Counts

4 → 92

Calls

24 calls:

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

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) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify171.0ms (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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(-.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)

rewrite61.0ms (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)))))

simplify76.0ms (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 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 eps (neg.f64 (sin.f64 x)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`unswap-sqr`
774×	`swap-sqr`
464×	`sqr-pow`
458×	`pow-sqr`
376×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	282	46
2	3430	46

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) (-.f64 1 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (/.f64 1 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 eps (sin.f64 x)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2) (+.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 eps (sin.f64 x)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps 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simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*r/`
1050×	`associate-*l/`
768×	`associate-+r+`
754×	`associate-+l+`
556×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	5622
1	637	5240
2	2953	5196

Stop Event

1×	node limit

Counts

134 → 170

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 x eps)))
✓	0.5b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
	3.2b	(cos.f64 (+.f64 x eps))
✓	13.1b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	20589
1	2087	19699

Stop Event

1×	node limit

Counts

267 → 350

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

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

✓

0.2b

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

✓

2.3b

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

Compiler

Compiled 48 to 10 computations (79.2% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

18 calls:

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

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	95
1	298	47
2	4036	47

Stop Event

1×	node limit

Counts

3 → 294

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-r`
850×	`associate-/l*`
692×	`associate-l`
642×	`associate-/r*`
538×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	4722
1	2126	4722

Stop Event

1×	node limit

Counts

350 → 346

Calls

Call 1

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

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

eval728.0ms (4.3%)

Compiler: Compiled 48467 to 19682 computations (59.4% saved)

prune627.0ms (3.7%)

Pruning

63 alts after pruning (62 fresh and 1 done)

	Pruned	Kept	Total
New	1584	55	1639
Fresh	31	7	38
Picked	1	0	1
Done	4	1	5
Total	1620	63	1683

Error

0.0b

Counts

1683 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 3)))
	35.9b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
	36.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)
	36.0b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	35.9b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	30.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	30.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	35.9b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	36.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
▶	44.1b	(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
	21.7b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
	35.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	21.5b	(-.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 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	21.4b	(-.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))))
	21.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	33.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	6.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	37.3b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	21.2b	(-.f64 (+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
	34.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	48.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	62.0b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	56.9b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	21.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	21.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	62.1b	(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) 1)
	36.3b	(-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	35.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.8b	(-.f64 (cos.f64 eps) 1)
	36.3b	(+.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))))
	11.8b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	28.3b	(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x)) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	16.4b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	22.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	12.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	11.6b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.6b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	6.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.3b	(+.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))))))
	61.9b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	36.0b	(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
	15.2b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	41.7b	(*.f64 (neg.f64 eps) (sin.f64 x))
	35.7b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
	47.8b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
	50.9b	(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
▶	51.0b	(.f64 eps (.f64 eps -1/2))
	56.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	56.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.9b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
	61.9b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	35.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	62.1b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	43.9b	(expm1.f64 (log.f64 (cos.f64 eps)))
	35.8b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.5b	0

Compiler

Compiled 1901 to 1338 computations (29.6% saved)

localize19.0ms (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)))
✓	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite112.0ms (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) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))) (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)))))))) (#(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 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 (log.f64 (+.f64 0 (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 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)))))

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

localize7.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (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))))))))

simplify75.0ms (0.4%)

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))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cos.f64 eps) 1/3)
✓	0.2b	(pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3)
✓	1.5b	(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series6.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
858×	`unswap-sqr`
550×	`swap-sqr`
430×	`sqr-pow`
412×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	265	29
2	2949	29

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
(pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3)
(pow.f64 (cos.f64 eps) 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 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 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 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 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 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 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simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-*r/`
1132×	`+-commutative`
912×	`associate-+l-`
726×	`associate-+r-`
590×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	8457
1	1239	7649
2	5023	7649

Stop Event

1×	node limit

Counts

209 → 280

Calls

Call 1

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

Outputs
(-.f64 1 (cos.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1) (cos.f64 x))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1)) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6))))) (cos.f64 x))
(-.f64 (fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6)))) (cos.f64 x))
(fma.f64 1/24 (pow.f64 eps 4) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)) (cos.f64 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
(+.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 -1/24 (pow.f64 x 4))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (.f64 x x) -1)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/24 (pow.f64 x 4)) (.f64 1/720 (pow.f64 x 6))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 -1/24 (pow.f64 x 4) (.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (.f64 x x) -1)))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
1
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(cos.f64 eps)
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(cos.f64 eps)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
1
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(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
(-.f64 (cos.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 1 (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) 3))
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(cos.f64 eps)
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(cos.f64 eps)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 (.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cos.f64 eps) 1/6))
(cos.f64 eps)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(cos.f64 eps)
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))
(cos.f64 eps)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) 3) (cbrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (cos.f64 eps))
(cos.f64 eps)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps))))))
(*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (cos.f64 eps)))))
(.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2))))
(*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (sqrt.f64 (sqrt.f64 (cos.f64 eps))))))
(*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)) (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)))
(.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (*.f64 (sqrt.f64 (sqrt.f64 (cos.f64 eps))) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2))))
(*.f64 (sqrt.f64 (cos.f64 eps)) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/4) (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3/2))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/6) 3) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 3/2)
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 eps) 3) 1/6))
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(fabs.f64 (cos.f64 eps))
(log.f64 (exp.f64 (cos.f64 eps)))
(cos.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(cos.f64 eps)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps)))) 1)
(cbrt.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (cos.f64 eps)) 1)
(cbrt.f64 (cos.f64 eps))
(.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (cos.f64 eps))
(*.f64 1 (cbrt.f64 (cos.f64 eps)))
(cbrt.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) 1/6) (pow.f64 (cos.f64 eps) 1/6))
(cbrt.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))
(cbrt.f64 (cos.f64 eps))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 3/2))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (cos.f64 eps))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (cos.f64 eps)))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (cos.f64 eps) 1/12) (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6))) (*.f64 (pow.f64 (cos.f64 eps) 1/12) (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))))
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (cos.f64 eps) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (cos.f64 eps) 1/12)))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (cos.f64 eps) 1/12)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (cos.f64 eps) 1/12)))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))))
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))))
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (.f64 (pow.f64 (cos.f64 eps) 1/12) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)) (*.f64 (pow.f64 (cos.f64 eps) 1/12) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (*.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6))))
(.f64 (pow.f64 (cos.f64 eps) 1/6) (.f64 (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6) (pow.f64 (sqrt.f64 (cos.f64 eps)) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps)))) (cbrt.f64 (cbrt.f64 (cos.f64 eps)))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))))))
(cbrt.f64 (cos.f64 eps))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 eps))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6)) (cbrt.f64 (pow.f64 (cos.f64 eps) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 1/12) (pow.f64 (pow.f64 (cos.f64 eps) 2) 1/12))
(pow.f64 (pow.f64 (cos.f64 eps) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 eps)))))
(cbrt.f64 (cos.f64 eps))
(cbrt.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 eps))))
(cbrt.f64 (cos.f64 eps))

localize16.0ms (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))
✓	2.3b	(-.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)

series3.0ms (0%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
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)))
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	@	0	(-.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)))

rewrite96.0ms (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

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((#(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))))))))

simplify241.0ms (1.4%)

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

eval544.0ms (3.2%)

Compiler: Compiled 34923 to 13749 computations (60.6% saved)

prune430.0ms (2.5%)

Pruning

76 alts after pruning (72 fresh and 4 done)

	Pruned	Kept	Total
New	1245	37	1282
Fresh	22	35	57
Picked	0	1	1
Done	2	3	5
Total	1269	76	1345

Error

Counts

1345 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 3)))
	35.9b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
	36.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	36.0b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	30.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	30.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	35.9b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	35.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	21.7b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
	35.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	21.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	6.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	37.3b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	34.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	6.8b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	48.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	21.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	21.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	35.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	35.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	35.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	35.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
	36.3b	(-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	35.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.8b	(-.f64 (cos.f64 eps) 1)
	55.7b	(-.f64 1 (cos.f64 x))
	7.1b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.8b	(+.f64 (/.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 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.8b	(+.f64 (/.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 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.7b	(+.f64 (-.f64 (cos.f64 eps) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	20.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	28.3b	(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.6b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.3b	(+.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))))
	7.1b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.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)))
	22.3b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	34.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	31.6b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
▶	0.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.3b	(+.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))))))
	6.8b	(+.f64 (log1p.f64 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.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))))
	61.9b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.0b	(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
	37.6b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
	6.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	31.3b	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) -2)
	15.2b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	41.7b	(*.f64 (sin.f64 x) (neg.f64 eps))
	36.3b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	35.7b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
▶	47.8b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
✓	51.0b	(.f64 eps (.f64 eps -1/2))
	56.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	56.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	36.0b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
	61.9b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
▶	35.9b	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
	35.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	61.9b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	35.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	43.2b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	62.1b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
▶	43.9b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
	43.9b	(expm1.f64 (log.f64 (cos.f64 eps)))
	35.8b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.5b	0

Compiler

Compiled 2155 to 1595 computations (26% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 48 computations (47.3% saved)

series8.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
1.0ms	eps	@	inf	(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
1.0ms	eps	@	-inf	(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
0.0ms	eps	@	inf	(pow.f64 (sin.f64 eps) 2)
0.0ms	eps	@	-inf	(pow.f64 (sin.f64 eps) 2)

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 743

Calls

Call 1

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

Outputs

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

simplify398.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

771 → 789

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) -1)
(-.f64 1 (cos.f64 eps))
(-.f64 1 (neg.f64 (cos.f64 eps)))
(-.f64 (sin.f64 eps) 2)
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (sin.f64 eps))
(-.f64 -1 (cos.f64 eps))
(-.f64 (/.f64 0 (sin.f64 eps)) (sin.f64 eps))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(-.f64 (-.f64 0 (neg.f64 (cos.f64 eps))) -1)
(-.f64 (-.f64 (/.f64 0 (sin.f64 eps)) (cos.f64 eps)) -1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sin.f64 eps) 1)
(*.f64 (sin.f64 eps) -1)
(*.f64 (sin.f64 eps) (sqrt.f64 -1))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))
(.f64 (pow.f64 (sin.f64 eps) -1/2) (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (neg.f64 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (cbrt.f64 (sin.f64 eps)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 -1 (sin.f64 eps))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sqrt.f64 -1) (sin.f64 eps))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
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(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps)))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (sqrt.f64 (cos.f64 eps)))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 eps) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (pow.f64 (sin.f64 eps) -1/2))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (pow.f64 (sin.f64 eps) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(sin.f64 eps)
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(fma.f64 1 (cos.f64 eps) 1)
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) 1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)

Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (+.f64 2 (.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 (pow.f64 eps 8) 1/40320))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) -1)
(+.f64 1 (cos.f64 eps))
(-.f64 1 (cos.f64 eps))
(-.f64 1 (neg.f64 (cos.f64 eps)))
(+.f64 1 (cos.f64 eps))
(-.f64 (sin.f64 eps) 2)
(+.f64 (sin.f64 eps) -2)
(-.f64 (sin.f64 eps) 0)
(sin.f64 eps)
(-.f64 0 (sin.f64 eps))
(neg.f64 (sin.f64 eps))
(-.f64 -1 (cos.f64 eps))
(-.f64 (/.f64 0 (sin.f64 eps)) (sin.f64 eps))
(neg.f64 (sin.f64 eps))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (/.f64 -1 (sin.f64 eps)))
(-.f64 (-.f64 0 (neg.f64 (cos.f64 eps))) -1)
(+.f64 1 (cos.f64 eps))
(-.f64 (-.f64 (/.f64 0 (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 1 (cos.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(*.f64 (sin.f64 eps) -1)
(neg.f64 (sin.f64 eps))
(*.f64 (sin.f64 eps) (sqrt.f64 -1))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (/.f64 1 (sin.f64 eps))))
(neg.f64 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(.f64 (pow.f64 (sin.f64 eps) -1/2) (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))))
(neg.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (sin.f64 eps)))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (cbrt.f64 (sin.f64 eps))))
(.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (sin.f64 eps)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(.f64 (sin.f64 eps) (.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (neg.f64 (cbrt.f64 (sin.f64 eps))))
(neg.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(sin.f64 eps)
(*.f64 (cbrt.f64 (sin.f64 eps)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(neg.f64 (sin.f64 eps))
(*.f64 -1 (sin.f64 eps))
(neg.f64 (sin.f64 eps))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (sqrt.f64 -1) (sin.f64 eps))
(*.f64 (sin.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (fabs.f64 (cbrt.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (fabs.f64 (cbrt.f64 (sin.f64 eps))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (cbrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (pow.f64 (sin.f64 eps) -1/2))
(sin.f64 eps)
(.f64 (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (sin.f64 eps))
(sin.f64 eps)
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(neg.f64 (sin.f64 eps))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(neg.f64 (sin.f64 eps))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(neg.f64 (sin.f64 eps))
(*.f64 (neg.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(neg.f64 (sin.f64 eps))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
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(/.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (/.f64 (hypot.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 eps))) (hypot.f64 1 (pow.f64 (cos.f64 eps) 3/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (-.f64 (pow.f64 (cos.f64 eps) 3) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 6) -1) (*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (+.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 3)) (pow.f64 (cos.f64 eps) 6))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (*.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)) (+.f64 (pow.f64 (cos.f64 eps) 6) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(/.f64 (/.f64 (sin.f64 eps) (/.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (.f64 (sqrt.f64 (cbrt.f64 (sin.f64 eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 eps))) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (sqrt.f64 (cbrt.f64 (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 1 (pow.f64 (sin.f64 eps) -1/2)) (pow.f64 (sin.f64 eps) -1/2))
(sin.f64 eps)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (sin.f64 eps)) -1)) (pow.f64 (sqrt.f64 (sin.f64 eps)) -1))
(sin.f64 eps)
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) -1)) (pow.f64 (cbrt.f64 (sin.f64 eps)) -1))
(sin.f64 eps)
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) -1/2)) (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (sin.f64 eps) (.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps)))) (pow.f64 (sin.f64 eps) -1/2))
(sin.f64 eps)
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 eps) -2))))
(/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (sin.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (/.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps)))) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (sqrt.f64 (cos.f64 eps)))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) 1)) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 eps) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))) (/.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) 1) (pow.f64 (sin.f64 eps) -1/2))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) -1/2))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))))
(/.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (sqrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) -1/2))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(sin.f64 eps)
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2))) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2)) (cbrt.f64 (pow.f64 (sin.f64 eps) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (sin.f64 eps)))))
(sin.f64 eps)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (cbrt.f64 (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (/.f64 1 (cbrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 2) 1/2)
(sin.f64 eps)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(sin.f64 eps)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sin.f64 eps)
(neg.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(fabs.f64 (sin.f64 eps))
(sin.f64 eps)
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(sin.f64 eps)
(sin.f64 eps)
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)
(fma.f64 1 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) 1)
(+.f64 1 (cos.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) 1)
(+.f64 1 (cos.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)

localize8.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
✓	0.1b	(log1p.f64 (+.f64 (cos.f64 eps) -1))
	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series64.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	eps	@	-inf	(log1p.f64 (+.f64 (cos.f64 eps) -1))
25.0ms	eps	@	inf	(log1p.f64 (+.f64 (cos.f64 eps) -1))
1.0ms	eps	@	0	(log1p.f64 (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	0	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
0.0ms	eps	@	inf	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`add-sqr-sqrt`
1602×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	183	26
2	1964	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-/r/`
1094×	`associate-/l/`
664×	`unswap-sqr`
648×	`fma-def`
600×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1283
1	382	1211
2	1401	1187
3	5717	1187

Stop Event

1×	node limit

Counts

77 → 80

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 eps))
✓	0.2b	(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
✓	1.9b	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series70.0ms (0.4%)

Counts

3 → 16

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	eps	@	-inf	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
28.0ms	eps	@	inf	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
1.0ms	eps	@	0	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
0.0ms	eps	@	0	(*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))
0.0ms	eps	@	0	(exp.f64 (cos.f64 eps))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1500×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	186	35
2	2034	35

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

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

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1218×	`unswap-sqr`
830×	`associate-/l*`
820×	`fma-def`
676×	`distribute-lft-in`
646×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1251
1	415	1161
2	1592	1139
3	6021	1139

Stop Event

1×	node limit

Counts

77 → 112

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 10 computations (77.3% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	295	62
2	4310	42

Stop Event

1×	node limit

Counts

2 → 253

Calls

Call 1

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

Outputs

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

simplify255.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
1314×	`associate-+r-`
734×	`+-commutative`
712×	`associate-r`
664×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	22175
1	1868	20519
2	7387	20517

Stop Event

1×	node limit

Counts

297 → 407

Calls

Call 1

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

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

eval907.0ms (5.3%)

Compiler: Compiled 49758 to 21500 computations (56.8% saved)

prune1.2s (6.9%)

Pruning

75 alts after pruning (68 fresh and 7 done)

	Pruned	Kept	Total
New	1743	15	1758
Fresh	14	53	67
Picked	1	0	1
Done	1	7	8
Total	1759	75	1834

Error

Counts

1834 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	46.3b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 3)))
	35.9b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))
	36.5b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)
	35.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	36.0b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	30.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	30.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	35.9b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	35.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	35.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	21.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	21.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	16.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	39.7b	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	37.3b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	31.9b	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	20.3b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	34.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	6.8b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	48.1b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
	36.3b	(-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	21.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	21.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	35.9b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	35.6b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	35.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	6.8b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	35.6b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) (cos.f64 x))
	35.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) (cos.f64 x))
	36.3b	(-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))
	56.5b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	35.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.8b	(-.f64 (cos.f64 eps) 1)
	6.9b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
	55.7b	(-.f64 1 (cos.f64 x))
	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.3b	(+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)))
	35.7b	(+.f64 (-.f64 (cos.f64 eps) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	28.3b	(+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.1b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.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)))
	34.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	31.6b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (neg.f64 (.f64 eps (sin.f64 x))))
	27.9b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 x (neg.f64 (sin.f64 eps))))
	0.8b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (/.f64 1 (pow.f64 (sin.f64 eps) -2))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.0b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	3.0b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 eps) 3) (/.f64 1 (sin.f64 eps)))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.9b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	38.0b	(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
	37.6b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
	31.3b	(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) -2)
	15.2b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	41.7b	(*.f64 (sin.f64 x) (neg.f64 eps))
	36.3b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	35.7b	(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
✓	47.8b	(.f64 eps (-.f64 (.f64 eps -1/2) x))
✓	51.0b	(.f64 eps (.f64 eps -1/2))
	56.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	56.9b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.8b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.9b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
✓	35.9b	(log.f64 (*.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1)))
	35.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	61.9b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	35.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	46.1b	(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
	43.2b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	62.1b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
✓	43.9b	(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
	43.9b	(expm1.f64 (log.f64 (cos.f64 eps)))
	35.8b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.5b	0

Compiler

Compiled 1054 to 774 computations (26.6% saved)

regimes428.0ms (2.5%)

Counts

151 → 1

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	x
122.0ms	eps
100.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 2291 to 901 computations (60.7% saved)

regimes274.0ms (1.6%)

Counts

120 → 1

Calls

Call 1

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

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

Calls

3 calls:

112.0ms	x
75.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
52.0ms	eps

Results

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

Compiler

Compiled 1473 to 610 computations (58.6% saved)

regimes564.0ms (3.3%)

Counts

116 → 3

Calls

Call 1

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

(+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)))

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

Calls

3 calls:

307.0ms	x
159.0ms	eps
39.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1395 to 577 computations (58.6% saved)

bsearch98.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	4.333718882073726e-19	0.49817238015681475
55.0ms	-49103.33432319113	-0.00021123642362354906

Results

48.0ms	66×	body	1024	valid
28.0ms	197×	body	256	valid
8.0ms	13×	body	2048	valid
7.0ms	28×	body	512	valid

Compiler

Compiled 917 to 646 computations (29.6% saved)

regimes333.0ms (2%)

Counts

108 → 3

Calls

Call 1

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

Outputs

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

(+.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)))

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

Calls

3 calls:

135.0ms	eps
127.0ms	x
41.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1266 to 527 computations (58.4% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	4.333718882073726e-19	0.49817238015681475
36.0ms	-49103.33432319113	-0.00021123642362354906

Results

30.0ms	206×	body	256	valid
19.0ms	51×	body	1024	valid
9.0ms	15×	body	2048	valid
8.0ms	32×	body	512	valid

Compiler

Compiled 917 to 646 computations (29.6% saved)

regimes341.0ms (2%)

Counts

106 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

132.0ms	eps
131.0ms	x
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1225 to 510 computations (58.4% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	4.333718882073726e-19	0.49817238015681475
36.0ms	-49103.33432319113	-0.00021123642362354906

Results

31.0ms	206×	body	256	valid
21.0ms	56×	body	1024	valid
11.0ms	36×	body	512	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 765 to 551 computations (28% saved)

regimes273.0ms (1.6%)

Counts

96 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

110.0ms	x
108.0ms	eps
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1030 to 434 computations (57.9% saved)

bsearch72.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.3234253253625846e-34	2.572722825908751e-28
34.0ms	-49103.33432319113	-0.00021123642362354906

Results

26.0ms	177×	body	256	valid
24.0ms	64×	body	1024	valid
9.0ms	35×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 725 to 523 computations (27.9% saved)

regimes267.0ms (1.6%)

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

108.0ms	eps
106.0ms	x
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1016 to 432 computations (57.5% saved)

bsearch71.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	4.333718882073726e-19	0.49817238015681475
35.0ms	-49103.33432319113	-0.00021123642362354906

Results

28.0ms	204×	body	256	valid
28.0ms	72×	body	1024	valid
5.0ms	21×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 765 to 551 computations (28% saved)

regimes262.0ms (1.5%)

Counts

94 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

107.0ms	eps
105.0ms	x
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1002 to 429 computations (57.2% saved)

bsearch74.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.3234253253625846e-34	2.572722825908751e-28
35.0ms	-49103.33432319113	-0.00021123642362354906

Results

26.0ms	66×	body	1024	valid
24.0ms	173×	body	256	valid
12.0ms	19×	body	2048	valid
7.0ms	30×	body	512	valid

Compiler

Compiled 716 to 532 computations (25.7% saved)

regimes249.0ms (1.5%)

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

102.0ms	x
100.0ms	eps
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 896 to 376 computations (58% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.3234253253625846e-34	2.572722825908751e-28
28.0ms	-0.00021123642362354906	-2.6571113684391673e-8

Results

24.0ms	175×	body	256	valid
18.0ms	44×	body	1024	valid
10.0ms	42×	body	512	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 524 to 384 computations (26.7% saved)

regimes113.0ms (0.7%)

Counts

84 → 1

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	eps
34.0ms	x
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
15.2b	1	`x`
15.2b	1	`eps`
15.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 818 to 348 computations (57.5% saved)

regimes108.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps 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))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 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 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.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)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))
(.f64 (.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (sin.f64 (/.f64 (+.f64 eps x) 2))) -2)

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

Calls

3 calls:

36.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
34.0ms	eps
33.0ms	x

Results

Error	Segments	Branch
19.1b	3	`x`
14.3b	3	`eps`
15.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 206 to 99 computations (51.9% saved)

bsearch71.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.49817238015681475	469275804279.0003
31.0ms	-49103.33432319113	-0.00021123642362354906

Results

28.0ms	194×	body	256	valid
26.0ms	67×	body	1024	valid
9.0ms	38×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 432 to 314 computations (27.3% saved)

regimes72.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps 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))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 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 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.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)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))

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

Calls

3 calls:

27.0ms	x
27.0ms	eps
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.4b	3	`x`
20.7b	3	`eps`
21.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 158 to 76 computations (51.9% saved)

bsearch67.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.49817238015681475	469275804279.0003
33.0ms	-49103.33432319113	-0.00021123642362354906

Results

29.0ms	203×	body	256	valid
24.0ms	65×	body	1024	valid
8.0ms	32×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 318 to 238 computations (25.2% saved)

regimes37.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps 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))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (.f64 (*.f64 eps -1/2) (cos.f64 x)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))

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

Calls

2 calls:

17.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
24.4b	3	`x`
21.1b	3	`eps`

Compiler

Compiled 78 to 45 computations (42.3% saved)

bsearch71.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.49817238015681475	469275804279.0003
34.0ms	-49103.33432319113	-0.00021123642362354906

Results

28.0ms	201×	body	256	valid
24.0ms	63×	body	1024	valid
8.0ms	11×	body	2048	valid
7.0ms	29×	body	512	valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

regimes27.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)

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

Calls

2 calls:

13.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
34.4b	3	`x`
26.6b	3	`eps`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch67.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	4.333718882073726e-19	0.49817238015681475
34.0ms	-0.00021123642362354906	-2.6571113684391673e-8

Results

26.0ms	186×	body	256	valid
24.0ms	63×	body	1024	valid
8.0ms	31×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 320 to 244 computations (23.8% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 x x) 1/4) -1/2)) (*.f64 eps x))
(-.f64 1 (cos.f64 x))

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

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
47.8b	1	`x`
47.8b	1	`eps`

Compiler

Compiled 40 to 26 computations (35% saved)

regimes7.0ms (0%)

Accuracy

Total -6.3b remaining (-12.3%)

Threshold costs -6.3b (-12.3%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(.f64 eps (.f64 eps -1/2))

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
51.0b	1	`x`
51.0b	1	`eps`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

78×	`+-commutative`
76×	`*-commutative`
42×	`sub-neg`
28×	`neg-mul-1`
28×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1555
1	217	1547
2	267	1543
3	300	1543
4	313	1543
5	317	1543
6	318	1543

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -3458764513820541/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3458764513820541/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -7378697629483821/2305843009213693952) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7378697629483821/2305843009213693952) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -8854437155380585/147573952589676412928) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 eps -1/2)) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(if (<=.f64 eps -662929865148937/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1/2) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1/2) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1/2) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -1936908127739503/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8854437155380585/73786976294838206464) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(.f64 eps (.f64 eps -1/2))
0

Outputs
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (/.f64 1 (+.f64 1 (cos.f64 eps)))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (+.f64 1 (cos.f64 eps))))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -3458764513820541/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3458764513820541/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -3458764513820541/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3458764513820541/1152921504606846976) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x))))
(if (<=.f64 eps -7378697629483821/2305843009213693952) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7378697629483821/2305843009213693952) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -7378697629483821/2305843009213693952) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7378697629483821/2305843009213693952) (+.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 eps (sin.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) 1/6))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -5534023222112865/1152921504606846976) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -5534023222112865/1152921504606846976) (not (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8854437155380585/147573952589676412928) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776) (.f64 eps (-.f64 (.f64 (cos.f64 x) (.f64 eps -1/2)) (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -8854437155380585/147573952589676412928) (not (<=.f64 eps 348449143727041/1393796574908163946345982392040522594123776))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(if (<=.f64 eps -662929865148937/288230376151711744) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1/2) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -662929865148937/288230376151711744) (not (<=.f64 eps 1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 eps (-.f64 (.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1/2) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7932099951695107/36893488147419103232) (not (<=.f64 eps 1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1/2) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -7932099951695107/36893488147419103232) (not (<=.f64 eps 1/2))) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -1936908127739503/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8854437155380585/73786976294838206464) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -1936908127739503/18446744073709551616) (not (<=.f64 eps 8854437155380585/73786976294838206464))) (+.f64 (cos.f64 eps) -1) (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(.f64 eps (.f64 eps -1/2))
0

Compiler

Compiled 552 to 339 computations (38.6% saved)

soundness187.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1392×	`fma-def`
1320×	`associate-r`
1314×	`associate-+r-`
1250×	`associate-l`
1010×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545
0	676	22175
1	1868	20519
2	7387	20517

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 597 to 285 computations (52.3% saved)

end331.0ms (1.9%)

Compiler: Compiled 520 to 244 computations (53.1% 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