Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (21.8%)

Results

1.8s	2109×	body	2048	valid
1.8s	3948×	body	1024	valid
388.0ms	1388×	body	512	valid
139.0ms	809×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess41.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

35.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
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Outputs

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simplify193.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval91.0ms (0.5%)

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

prune175.0ms (0.9%)

Pruning

40 alts after pruning (39 fresh and 1 done)

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

Error

0.1b

Counts

287 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	46.5b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	56.4b	(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
	56.4b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
	35.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	35.3b	(/.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)))))
	35.5b	(/.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)))
▶	35.4b	(/.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)
	35.6b	(/.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)))))
	35.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.8b	(-.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))
	23.8b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	35.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	23.9b	(-.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))
▶	23.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	35.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
	36.4b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	31.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	23.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	35.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	35.3b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	43.4b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	35.4b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	35.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	35.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	35.1b	(-.f64 (cos.f64 eps) 1)
	32.2b	(+.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))
▶	5.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.8b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	35.9b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	29.8b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	37.3b	(*.f64 (neg.f64 eps) (sin.f64 x))
	35.8b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	29.8b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x)))))
	11.5b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	35.4b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	35.3b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.6b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	35.4b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1367 to 864 computations (36.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.5b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series9.0ms (0%)

Counts

4 → 92

Calls

24 calls:

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

rewrite129.0ms (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 (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 (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 (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 (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 (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 0 (.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 (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 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (.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))))) 1)))) (#(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 (cos.f64 eps)) (cos.f64 x) (.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 (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 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.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 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify251.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(-.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)

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.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)))))
✓	2.2b	(+.f64 x (-.f64 eps x))
✓	3.4b	(cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))
✓	3.5b	(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))

Compiler

Compiled 158 to 36 computations (77.2% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite151.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-+l+`
804×	`associate-+r+`
752×	`+-commutative`
464×	`add-sqr-sqrt`
454×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	172
1	421	172
2	6798	172

Stop Event

1×	node limit

Counts

4 → 272

Calls

Call 1

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

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

simplify208.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1076×	`+-commutative`
994×	`associate-+l-`
854×	`distribute-lft-in`
810×	`associate-+r-`
788×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	720	20670
1	2211	17464

Stop Event

1×	node limit

Counts

368 → 447

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
✓	0.3b	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
	0.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	3.4b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 40 to 12 computations (70% saved)

series27.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	eps	@	0	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
2.0ms	eps	@	inf	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
1.0ms	x	@	0	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)
1.0ms	x	@	inf	(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)

rewrite195.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 311

Calls

Call 1

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

Outputs

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simplify273.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	869	28115
1	2521	27947

Stop Event

1×	node limit

Counts

359 → 519

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

18 calls:

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

rewrite190.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`associate-*r/`
1578×	`associate-*l/`
766×	`associate-+l+`
346×	`+-commutative`
328×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	95
1	294	47
2	4282	47

Stop Event

1×	node limit

Counts

3 → 382

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) 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simplify279.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1150×	`+-commutative`
1002×	`associate-+r+`
754×	`associate-r`
746×	`associate-+l+`
688×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	26480
1	2475	24384

Stop Event

1×	node limit

Counts

426 → 577

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

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

eval1.1s (5.5%)

Compiler: Compiled 84225 to 27499 computations (67.4% saved)

prune1.1s (5.9%)

Pruning

57 alts after pruning (54 fresh and 3 done)

	Pruned	Kept	Total
New	2607	47	2654
Fresh	27	7	34
Picked	0	1	1
Done	3	2	5
Total	2637	57	2694

Error

0.0b

Counts

2694 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	23.8b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	51.3b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	56.4b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
	35.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.9b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	35.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	46.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
▶	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	55.5b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 x)) -1)
	35.7b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) x))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x eps)) (neg.f64 x))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
	31.1b	(/.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))) (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) 1/2)) (sin.f64 (.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))) 1/2))) -2) -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)))
	35.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.8b	(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
	23.8b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	23.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 1)) (cos.f64 x))
✓	23.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	35.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) x)) (cos.f64 x))
	23.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	54.3b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	61.9b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	31.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	61.8b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	57.7b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	35.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	55.9b	(-.f64 (cos.f64 x) (cos.f64 x))
	35.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.1b	(-.f64 (cos.f64 eps) 1)
▶	5.7b	(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
	16.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	5.9b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	32.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
	35.9b	(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
	58.1b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	5.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	51.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
	61.9b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	11.5b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	37.3b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	50.8b	(.f64 -1/2 (.f64 eps eps))
	55.2b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	35.1b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	24.1b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x)) 3))
	35.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	35.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	34.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2) 3))

Compiler

Compiled 1891 to 1245 computations (34.2% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.1b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x))))
✓	1.5b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))

Compiler

Compiled 67 to 12 computations (82.1% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`*-commutative`
720×	`unswap-sqr`
556×	`swap-sqr`
414×	`sqr-pow`
410×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	259	63
2	3215	63

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) (#(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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) -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 (*.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (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)) (cos.f64 x))))) (#(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 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) 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 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (-.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (/.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6) (pow.f64 (pow.f64 (sin.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-*r/`
1392×	`associate-*l/`
786×	`+-commutative`
698×	`associate-r`
538×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8196
1	1018	7486
2	4776	7484

Stop Event

1×	node limit

Counts

190 → 265

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

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

localize5.0ms (0%)

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps))))
	2.2b	(+.f64 x (-.f64 eps x))
✓	3.4b	(cos.f64 (*.f64 1 (+.f64 x eps)))
	3.5b	(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))

Compiler

Compiled 119 to 37 computations (68.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite430.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`associate-+l+`
680×	`+-commutative`
550×	`associate-+r+`
434×	`add-sqr-sqrt`
424×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	415	68
2	6296	68

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

774×	`unswap-sqr`
752×	`associate-+l+`
738×	`associate-+r+`
732×	`distribute-lft-in`
692×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	6492
1	686	5960
2	2881	5286

Stop Event

1×	node limit

Counts

130 → 162

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 eps 2)
✓	0.0b	(*.f64 -1/720 (pow.f64 eps 6))
✓	0.1b	(*.f64 1/24 (pow.f64 eps 4))
✓	26.5b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))

Compiler

Compiled 61 to 49 computations (19.7% saved)

series5.0ms (0%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(pow.f64 eps 2)
0.0ms	eps	@	inf	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
0.0ms	eps	@	0	(*.f64 1/24 (pow.f64 eps 4))
0.0ms	eps	@	0	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
0.0ms	eps	@	0	(*.f64 -1/720 (pow.f64 eps 6))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1036×	`distribute-lft-in`
832×	`associate-*l/`
366×	`add-sqr-sqrt`
348×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	379	74
2	4612	74

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/24 (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/24 (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/24 (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/13824 (pow.f64 eps 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 eps 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/24 (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/13824 (pow.f64 eps 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/24 (pow.f64 eps 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/720 (pow.f64 eps 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -1/720) (pow.f64 eps 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/373248000 (pow.f64 (pow.f64 eps 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/518400 (pow.f64 eps 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 eps 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 eps 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/373248000 (pow.f64 (pow.f64 eps 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/720 (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 eps 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/720 (pow.f64 eps 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 8))) (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 eps 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps eps)))))))

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1756×	`associate-*l/`
748×	`associate-+r+`
724×	`+-commutative`
700×	`associate-+l+`
504×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	12317
1	1044	11351
2	4549	11351

Stop Event

1×	node limit

Counts

147 → 211

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

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 -1/720 (pow.f64 eps 6))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))) (-.f64 1 (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))) 1) (*.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6)))) (-.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) (-.f64 1 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps)))) (-.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))) (expm1.f64 (log1p.f64 (.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/24 (pow.f64 eps 4)))) (-.f64 1 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (/.f64 (pow.f64 eps 8) (/.f64 (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))) 1/576)) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) 2) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))))
(-.f64 (.f64 (/.f64 (pow.f64 eps 8) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))) 1/576) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (fma.f64 1/24 (pow.f64 eps 4) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 -1/2 (.f64 eps eps)))))
(-.f64 (/.f64 (pow.f64 eps 4) (/.f64 (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/720 (pow.f64 eps 6))) 1/4)) (-.f64 (/.f64 (.f64 1/518400 (pow.f64 eps 12)) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/720 (pow.f64 eps 6)))) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (.f64 (/.f64 (pow.f64 eps 4) (fma.f64 eps (.f64 -1/2 eps) (.f64 (pow.f64 eps 6) 1/720))) 1/4) (+.f64 (/.f64 (.f64 1/518400 (pow.f64 eps 12)) (fma.f64 eps (.f64 -1/2 eps) (.f64 (pow.f64 eps 6) 1/720))) (*.f64 -1/24 (pow.f64 eps 4))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (/.f64 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/720))) 1/4 (/.f64 -1/518400 (/.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/720)) (pow.f64 eps 12)))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2)))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))) 1) (*.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (/.f64 (pow.f64 eps 4) (/.f64 (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/720 (pow.f64 eps 6))) 1/4))) (/.f64 (.f64 1/518400 (pow.f64 eps 12)) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/720 (pow.f64 eps 6)))))
(-.f64 (.f64 (/.f64 (pow.f64 eps 4) (fma.f64 eps (.f64 -1/2 eps) (.f64 (pow.f64 eps 6) 1/720))) 1/4) (+.f64 (/.f64 (.f64 1/518400 (pow.f64 eps 12)) (fma.f64 eps (.f64 -1/2 eps) (.f64 (pow.f64 eps 6) 1/720))) (*.f64 -1/24 (pow.f64 eps 4))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (/.f64 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/720))) 1/4 (/.f64 -1/518400 (/.f64 (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) 1/720)) (pow.f64 eps 12)))))
(-.f64 (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4))))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (+.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 eps 6))))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(-.f64 (+.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/720 (pow.f64 eps 6))) (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 eps eps)))) (-.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))) (expm1.f64 (log1p.f64 (.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (+.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) 1) (exp.f64 (log1p.f64 (.f64 -1/720 (pow.f64 eps 6))))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2)))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))) (sqrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))))) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))) 2) (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) 2)) (/.f64 1 (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))))))
(-.f64 (.f64 (/.f64 (pow.f64 eps 8) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))) 1/576) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (fma.f64 1/24 (pow.f64 eps 4) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 -1/2 (.f64 eps eps)))))
(.f64 (+.f64 (.f64 1/13824 (pow.f64 eps 12)) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 eps 8) 1/576) (.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (-.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (*.f64 1/24 (pow.f64 eps 4)))))))
(/.f64 (fma.f64 1/13824 (pow.f64 eps 12) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 3)) (fma.f64 (pow.f64 eps 8) 1/576 (.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (.f64 -1/24 (pow.f64 eps 4))))))
(/.f64 (fma.f64 (pow.f64 eps 12) 1/13824 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 3)) (fma.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (.f64 (pow.f64 eps 4) -1/24)) (.f64 (pow.f64 eps 8) 1/576)))
(.f64 (/.f64 1 (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))) (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))) 2)))
(-.f64 (.f64 (/.f64 (pow.f64 eps 8) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))) 1/576) (/.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 2)) (fma.f64 1/24 (pow.f64 eps 4) (-.f64 (.f64 (pow.f64 eps 6) 1/720) (.f64 -1/2 (.f64 eps eps)))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 eps 8) 1/576) (.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (-.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (.f64 1/24 (pow.f64 eps 4)))))) (+.f64 (.f64 1/13824 (pow.f64 eps 12)) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))) 3)))
(/.f64 (fma.f64 1/13824 (pow.f64 eps 12) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 3)) (fma.f64 (pow.f64 eps 8) 1/576 (.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (.f64 -1/24 (pow.f64 eps 4))))))
(/.f64 (fma.f64 (pow.f64 eps 12) 1/13824 (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) 3)) (fma.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (.f64 (pow.f64 eps 4) -1/24)) (.f64 (pow.f64 eps 8) 1/576)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) 2)) (-.f64 (.f64 (pow.f64 eps 8) 1/576) (pow.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) 2))) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2)))))
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(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 1 (.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (*.f64 eps -1/2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 1 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))) (*.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))) (*.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) (.f64 (.f64 eps eps) (sqrt.f64 1/24)) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(+.f64 (pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))) (pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2)))) (*.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 8) 1/576)) (cbrt.f64 (.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 eps (.f64 eps -1/2))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 eps 8) 1/576)) (cbrt.f64 (.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 -1/2 (.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4)))) 1)
(*.f64 1/24 (pow.f64 eps 4))
(pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)
(*.f64 1/24 (pow.f64 eps 4))
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 eps 4))) 3)
(*.f64 1/24 (pow.f64 eps 4))
(pow.f64 (*.f64 1/13824 (pow.f64 eps 12)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 eps 12) 1/13824))
(sqrt.f64 (*.f64 (pow.f64 eps 8) 1/576))
(log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))
(*.f64 1/24 (pow.f64 eps 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 1/24 (pow.f64 eps 4))
(cbrt.f64 (*.f64 1/13824 (pow.f64 eps 12)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) 1/13824))
(expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 1/24 (pow.f64 eps 4))
(exp.f64 (log.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 1/24 (pow.f64 eps 4))
(exp.f64 (.f64 (log.f64 (.f64 1/24 (pow.f64 eps 4))) 1))
(*.f64 1/24 (pow.f64 eps 4))
(log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 1/24 (pow.f64 eps 4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 eps 6)))) 1)
(*.f64 -1/720 (pow.f64 eps 6))
(pow.f64 (*.f64 -1/720 (pow.f64 eps 6)) 1)
(*.f64 -1/720 (pow.f64 eps 6))
(pow.f64 (*.f64 (sqrt.f64 -1/720) (pow.f64 eps 3)) 2)
(pow.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1/720)) 3)
(*.f64 -1/720 (pow.f64 eps 6))
(pow.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 eps 6) 3)) 1/3)
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 eps 6) 3)))
(sqrt.f64 (*.f64 1/518400 (pow.f64 eps 12)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 eps 6)))
(*.f64 -1/720 (pow.f64 eps 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 -1/720 (pow.f64 eps 6))
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 eps 6) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 eps 6))))
(*.f64 -1/720 (pow.f64 eps 6))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 eps 6))))
(*.f64 -1/720 (pow.f64 eps 6))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 eps 6))) 1))
(*.f64 -1/720 (pow.f64 eps 6))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 eps 6))))
(*.f64 -1/720 (pow.f64 eps 6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps eps))) 1)
(*.f64 eps eps)
(*.f64 eps eps)
(.f64 (.f64 eps eps) 1)
(*.f64 eps eps)
(.f64 1 (.f64 eps eps))
(*.f64 eps eps)
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps))
(*.f64 eps eps)
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4)))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) eps))
(*.f64 eps eps)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps 8))) (sqrt.f64 (cbrt.f64 (pow.f64 eps 4))))
(.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps eps)
(.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 eps eps)
(sqrt.f64 (pow.f64 eps 4))
(*.f64 eps eps)
(fabs.f64 (*.f64 eps eps))
(*.f64 eps eps)
(log.f64 (pow.f64 (exp.f64 eps) eps))
(*.f64 eps eps)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps eps))))
(*.f64 eps eps)
(cbrt.f64 (pow.f64 eps 6))
(expm1.f64 (log1p.f64 (*.f64 eps eps)))
(*.f64 eps eps)
(exp.f64 (*.f64 2 (log.f64 eps)))
(*.f64 eps eps)
(exp.f64 (.f64 (.f64 2 (log.f64 eps)) 1))
(*.f64 eps eps)
(log1p.f64 (expm1.f64 (*.f64 eps eps)))
(*.f64 eps eps)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 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simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1772	18647

Stop Event

1×	node limit

Counts

297 → 417

Calls

Call 1

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

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

eval650.0ms (3.4%)

Compiler: Compiled 48394 to 22287 computations (53.9% saved)

prune626.0ms (3.2%)

Pruning

60 alts after pruning (56 fresh and 4 done)

	Pruned	Kept	Total
New	1376	25	1401
Fresh	18	31	49
Picked	1	0	1
Done	3	4	7
Total	1398	60	1458

Error

0.0b

Counts

1458 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	5.7b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	51.3b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	56.4b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
	35.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.9b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	35.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	58.1b	(/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
▶	46.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x)))) (cos.f64 (*.f64 1 (+.f64 x eps)))) -1)
	43.8b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (fabs.f64 (cos.f64 (+.f64 eps x)))) -1)
▶	55.5b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 x)) -1)
	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	35.7b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 eps (+.f64 (+.f64 eps x) (+.f64 x x)))))) (cos.f64 (+.f64 eps x))) -1)
	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x eps)) (neg.f64 x))))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	31.1b	(/.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x))))) (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) 1/2)) (sin.f64 (.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) (+.f64 x (+.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))) 1/2))) -2) -1)
	30.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	55.9b	(/.f64 (*.f64 0 (cos.f64 x)) -1)
	30.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	35.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.8b	(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
	23.8b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
✓	23.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	23.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	54.3b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	31.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	5.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	23.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	32.5b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
✓	35.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	35.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.1b	(-.f64 (cos.f64 eps) 1)
	5.8b	(+.f64 (fma.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 x)))) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 x))))) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
▶	5.7b	(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
	5.8b	(+.f64 (fma.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
	6.2b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	16.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (.f64 (cos.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.2b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	5.8b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
▶	32.2b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (*.f64 x (sin.f64 eps)))))
	31.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	51.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 -1/720 (pow.f64 eps 6))))
	5.9b	(+.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)))
	35.9b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	11.5b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
▶	37.3b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	50.8b	(.f64 -1/2 (.f64 eps eps))
	55.2b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	35.1b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	35.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	35.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	34.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2) 3))

Compiler

Compiled 2018 to 1370 computations (32.1% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
✓	0.1b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
	1.5b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 69 to 24 computations (65.2% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`swap-sqr`
762×	`associate-*r/`
642×	`associate-*l/`
578×	`distribute-rgt-in`
540×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	299	58
2	3686	46

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`distribute-lft-in`
1378×	`associate-*r/`
1012×	`associate-*l/`
964×	`associate-/r*`
602×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	5888
1	978	5690
2	3905	5688

Stop Event

1×	node limit

Counts

148 → 218

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
✓	0.1b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	11
2	1989	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1326×	`fma-def`
900×	`distribute-lft-out`
796×	`*-commutative`
672×	`associate-r`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	753
1	157	681
2	513	599
3	2311	583
4	6257	583

Stop Event

1×	node limit

Counts

37 → 38

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 eps x) x)
✓	0.3b	(-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 x))
	2.2b	(+.f64 x (-.f64 eps x))
	3.5b	(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))

Compiler

Compiled 98 to 25 computations (74.5% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-+l+`
614×	`+-commutative`
522×	`associate-+r+`
504×	`associate-+l-`
408×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	367	64
2	5800	64

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`distribute-lft-in`
930×	`+-commutative`
888×	`associate-+l+`
882×	`associate-+r+`
848×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	7297
1	824	6241
2	3261	5655

Stop Event

1×	node limit

Counts

163 → 196

Calls

Call 1

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

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

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.4b	(cos.f64 (*.f64 1 (+.f64 x eps)))
✓	3.5b	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))
✓	13.5b	(/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps)))
✓	25.9b	(/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))

Compiler

Compiled 252 to 74 computations (70.6% saved)

series16.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))
2.0ms	eps	@	0	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))
1.0ms	eps	@	inf	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))
1.0ms	eps	@	-inf	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))
1.0ms	x	@	-inf	(-.f64 (-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x eps))) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (+.f64 eps x) x))

rewrite140.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`associate-+l+`
706×	`+-commutative`
554×	`associate-+r+`
446×	`add-sqr-sqrt`
440×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	117
1	410	117
2	7200	117

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

Inputs

(/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))

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

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

Outputs

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

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simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

858×	`+-commutative`
780×	`associate-r`
772×	`associate-+r+`
740×	`associate-+l+`
724×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	22149
1	2126	20631

Stop Event

1×	node limit

Counts

267 → 384

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -3/4 eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (*.f64 -3/4 eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))))))
(*.f64 -1 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(*.f64 -1 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(*.f64 -1 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(*.f64 1/2 x)
(-.f64 (+.f64 (.f64 1/2 x) (.f64 -1 eps)) (*.f64 -1/4 eps))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 eps) (.f64 1/2 (/.f64 (pow.f64 eps 2) x)))) (+.f64 (.f64 -1/4 eps) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps))) x))))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 eps) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/2 (/.f64 (.f64 eps (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/2 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps)))))) (pow.f64 x 2)))))) (+.f64 (.f64 -1/4 eps) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (*.f64 -1/4 eps))) x))))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (*.f64 1/2 x))
(-.f64 (+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 (pow.f64 eps 2) x)))) (.f64 1/2 (/.f64 (.f64 eps (-.f64 eps (*.f64 1/4 eps))) x)))
(-.f64 (+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/4 eps))))) eps) (pow.f64 x 2)))))) (.f64 1/2 (/.f64 (.f64 eps (-.f64 eps (*.f64 1/4 eps))) x)))
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -8 (/.f64 (pow.f64 x 5) (pow.f64 eps 4))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (*.f64 1/4 eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (*.f64 1/4 eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/4 eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (*.f64 1/4 eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))))))
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -8 (/.f64 (pow.f64 x 5) (pow.f64 eps 4))))))
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -8 (/.f64 (pow.f64 x 5) (pow.f64 eps 4))))))
(.f64 -1 (+.f64 eps (.f64 -1 eps)))
(+.f64 (.f64 -2 x) (.f64 -1 (+.f64 eps (*.f64 -1 eps))))
(+.f64 (.f64 -2 x) (.f64 -1 (+.f64 eps (*.f64 -1 eps))))
(+.f64 (.f64 -2 x) (.f64 -1 (+.f64 eps (*.f64 -1 eps))))
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 -1 (+.f64 eps (*.f64 -1 eps))))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -1 (+.f64 eps (.f64 -1 eps))) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps))) x)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) x))))
(-.f64 (+.f64 (.f64 -2 x) (+.f64 (.f64 -1 (+.f64 eps (.f64 -1 eps))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps))) x)) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/2 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps)))))) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) x)))))
(*.f64 -2 x)
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/4 eps)) (+.f64 eps (.f64 -1 (-.f64 eps (.f64 1/4 eps)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 -1 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/4 eps))))))) x)) (+.f64 (.f64 -2 x) (.f64 1/4 eps))) (+.f64 (.f64 -1 (-.f64 eps (*.f64 1/4 eps))) eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/8 (pow.f64 eps 2)) (.f64 -1 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/4 eps))))))) x)) (+.f64 (.f64 -2 x) (+.f64 (.f64 1/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (+.f64 eps (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/4 eps))))) eps) (pow.f64 x 2))))))
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))) 1)
(.f64 (-.f64 eps x) (.f64 (-.f64 eps x) (/.f64 1 (+.f64 x (-.f64 x eps)))))
(*.f64 (pow.f64 (-.f64 eps x) 2) (/.f64 1 (+.f64 x (-.f64 x eps))))
(*.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) 1)
(*.f64 1 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))
(*.f64 (/.f64 (-.f64 eps x) (sqrt.f64 (+.f64 x (-.f64 x eps)))) (/.f64 (-.f64 eps x) (sqrt.f64 (+.f64 x (-.f64 x eps)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 eps x) 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 eps x) 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 eps x) 4)) (.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (/.f64 1 (+.f64 x (-.f64 x eps)))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (pow.f64 (-.f64 eps x) 2))
(*.f64 (neg.f64 (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (neg.f64 (+.f64 x (-.f64 x eps)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (-.f64 x eps)))) (/.f64 (pow.f64 (-.f64 eps x) 2) (sqrt.f64 (+.f64 x (-.f64 x eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 x eps))) 2)) (/.f64 (pow.f64 (-.f64 eps x) 2) (cbrt.f64 (+.f64 x (-.f64 x eps)))))
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(/.f64 (-.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (/.f64 (pow.f64 (-.f64 eps x) 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (+.f64 x (-.f64 eps x))) (.f64 (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))) (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)))) (.f64 (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))) (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (/.f64 (pow.f64 (-.f64 eps x) 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))) (.f64 (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (.f64 (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))) (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x) 3) (pow.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) 3)) (+.f64 x (-.f64 eps x))) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))))) (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)))) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))))) (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x) 3) (pow.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (.f64 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2)) (.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (.f64 (/.f64 1 (+.f64 x (-.f64 x eps))) (+.f64 (pow.f64 (-.f64 eps x) 2) (.f64 x x))))) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 eps x))) (.f64 (+.f64 x (-.f64 x eps)) (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x eps) 2)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))) (.f64 (+.f64 x (-.f64 x eps)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (.f64 (+.f64 x (-.f64 x eps)) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x (-.f64 x eps)) (.f64 x x)) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 x (-.f64 eps x))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x x)))) (*.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x (-.f64 x eps)) (.f64 x x)) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (pow.f64 (+.f64 x (+.f64 eps x)) 2))) (neg.f64 (+.f64 x (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 3) (pow.f64 (+.f64 x (+.f64 eps x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (.f64 (+.f64 x (+.f64 eps x)) (+.f64 x (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps x)))))))
(pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x (-.f64 x eps))) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 1 (*.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (neg.f64 (+.f64 x (+.f64 eps x))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 x (+.f64 eps x))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x)) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 x (+.f64 eps x))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -3/4 eps))
(fma.f64 1/2 x (*.f64 -3/4 eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (*.f64 -3/4 eps)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) x) (fma.f64 1/2 x (.f64 -3/4 eps)))
(fma.f64 1/8 (/.f64 eps (/.f64 x eps)) (fma.f64 1/2 x (*.f64 -3/4 eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/4 eps) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 2))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) x) (fma.f64 1/2 x (fma.f64 -3/4 eps (.f64 1/16 (/.f64 (pow.f64 eps 3) (*.f64 x x))))))
(fma.f64 1/8 (/.f64 eps (/.f64 x eps)) (fma.f64 1/2 x (fma.f64 -3/4 eps (.f64 1/16 (/.f64 (pow.f64 eps 3) (.f64 x x))))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(.f64 -1 (+.f64 (/.f64 (.f64 x x) eps) eps))
(*.f64 -1 (+.f64 eps (/.f64 x (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps)))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps))))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(.f64 -1 (+.f64 (/.f64 (.f64 x x) eps) eps))
(*.f64 -1 (+.f64 eps (/.f64 x (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps)))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps))))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 eps))
(.f64 -1 (+.f64 (/.f64 (.f64 x x) eps) eps))
(*.f64 -1 (+.f64 eps (/.f64 x (/.f64 eps x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (*.f64 -1 eps)))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps)))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 eps 2))) (.f64 -1 eps))))
(fma.f64 -1 (/.f64 (.f64 x x) eps) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (.f64 eps eps)) (neg.f64 eps))))
(fma.f64 -1 (/.f64 x (/.f64 eps x)) (fma.f64 -4 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 eps eps)) (neg.f64 eps))))
(*.f64 1/2 x)
(-.f64 (+.f64 (.f64 1/2 x) (.f64 -1 eps)) (*.f64 -1/4 eps))
(fma.f64 1/2 x (*.f64 -3/4 eps))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 eps) (.f64 1/2 (/.f64 (pow.f64 eps 2) x)))) (+.f64 (.f64 -1/4 eps) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps))) x))))
(-.f64 (fma.f64 1/2 x (fma.f64 -1 eps (.f64 1/2 (/.f64 (.f64 eps eps) x)))) (fma.f64 -1/4 eps (.f64 -1/2 (/.f64 eps (/.f64 x (.f64 -3/4 eps))))))
(-.f64 (fma.f64 1/2 x (fma.f64 -1 eps (/.f64 (.f64 eps eps) (/.f64 x 1/2)))) (fma.f64 -1/4 eps (.f64 -1/2 (/.f64 (*.f64 -3/4 eps) (/.f64 x eps)))))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 eps) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/2 (/.f64 (.f64 eps (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/2 (.f64 eps (-.f64 (.f64 -1 eps) (.f64 -1/4 eps)))))) (pow.f64 x 2)))))) (+.f64 (.f64 -1/4 eps) (.f64 -1/2 (/.f64 (.f64 eps (-.f64 (.f64 -1 eps) (*.f64 -1/4 eps))) x))))
(-.f64 (fma.f64 1/2 x (fma.f64 -1 eps (.f64 1/2 (+.f64 (/.f64 (.f64 eps eps) x) (/.f64 eps (/.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 1/2 (.f64 eps (.f64 -3/4 eps)))))))))) (fma.f64 -1/4 eps (.f64 -1/2 (/.f64 eps (/.f64 x (.f64 -3/4 eps))))))
(-.f64 (fma.f64 1/2 x (fma.f64 -1 eps (.f64 1/2 (+.f64 (/.f64 eps (/.f64 x eps)) (.f64 (/.f64 eps (.f64 x x)) (+.f64 (.f64 1/2 (.f64 eps eps)) (.f64 (.f64 1/2 eps) (.f64 -3/4 eps)))))))) (fma.f64 -1/4 eps (.f64 -1/2 (/.f64 (.f64 -3/4 eps) (/.f64 x eps)))))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (*.f64 1/2 x))
(fma.f64 -1 (+.f64 eps (.f64 eps -1/4)) (.f64 1/2 x))
(-.f64 (+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (+.f64 (.f64 1/2 x) (.f64 1/2 (/.f64 (pow.f64 eps 2) x)))) (.f64 1/2 (/.f64 (.f64 eps (-.f64 eps (*.f64 1/4 eps))) x)))
(+.f64 (fma.f64 -1 (+.f64 eps (.f64 eps -1/4)) (.f64 1/2 (+.f64 x (/.f64 (.f64 eps eps) x)))) (.f64 -1/2 (/.f64 eps (/.f64 x (+.f64 eps (*.f64 eps -1/4))))))
(+.f64 (fma.f64 -1 (+.f64 eps (.f64 eps -1/4)) (.f64 1/2 (+.f64 x (/.f64 eps (/.f64 x eps))))) (/.f64 (.f64 eps -1/2) (/.f64 x (+.f64 eps (.f64 eps -1/4)))))
(-.f64 (+.f64 (.f64 -1 (-.f64 eps (.f64 1/4 eps))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/2 (.f64 eps (-.f64 eps (.f64 1/4 eps))))) eps) (pow.f64 x 2)))))) (.f64 1/2 (/.f64 (.f64 eps (-.f64 eps (*.f64 1/4 eps))) x)))
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(/.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) (-.f64 (.f64 (+.f64 x (-.f64 x eps)) (.f64 x x)) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (*.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) (-.f64 (.f64 x (.f64 x (+.f64 x (-.f64 x eps)))) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (*.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 x (-.f64 eps x))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x (-.f64 x eps)) (.f64 x x)) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3)))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 (+.f64 eps x) 2) (.f64 x (-.f64 x (+.f64 eps x))))))
(/.f64 (fma.f64 (-.f64 (.f64 (+.f64 x (-.f64 x eps)) (.f64 x x)) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (-.f64 x (+.f64 x eps)))) (neg.f64 (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (-.f64 x (+.f64 x eps))))))
(/.f64 (fma.f64 (-.f64 (.f64 x (.f64 x (+.f64 x (-.f64 x eps)))) (.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (-.f64 x (+.f64 x eps)))) (neg.f64 (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))))) (.f64 (pow.f64 (+.f64 x (-.f64 x eps)) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (-.f64 x (+.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (pow.f64 (+.f64 x (+.f64 eps x)) 2))) (neg.f64 (+.f64 x (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (pow.f64 (+.f64 x (+.f64 x eps)) 2))) (neg.f64 (+.f64 x (+.f64 (+.f64 x eps) (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (pow.f64 (+.f64 eps (+.f64 x x)) 2))) (-.f64 (neg.f64 x) (+.f64 (+.f64 x eps) (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 3) (pow.f64 (+.f64 x (+.f64 eps x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (.f64 (+.f64 x (+.f64 eps x)) (+.f64 x (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 3) (pow.f64 (+.f64 x (+.f64 x eps)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (.f64 (+.f64 x (+.f64 x eps)) (+.f64 x (+.f64 (+.f64 x eps) (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 3) (pow.f64 (+.f64 eps (+.f64 x x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) 2) (.f64 (+.f64 eps (+.f64 x x)) (+.f64 x (+.f64 (+.f64 x eps) (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))))))))
(pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 1)
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 2)
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 3)
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 3) 1/3)
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x))) 3))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))) 1))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x (-.f64 x eps))) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(fma.f64 1 (*.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(fma.f64 1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (neg.f64 (+.f64 x (+.f64 eps x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps)))) (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(-.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 eps (+.f64 x x)))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) 2) (-.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x (-.f64 x eps)))) 2) (-.f64 (+.f64 (neg.f64 eps) (*.f64 x -2)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 x (+.f64 eps x))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (-.f64 (neg.f64 (+.f64 x eps)) x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (sqrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (+.f64 (neg.f64 eps) (*.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (-.f64 x eps))) x)) (neg.f64 (+.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 eps x)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (-.f64 x eps))))) (-.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (+.f64 x (+.f64 x eps))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x (-.f64 x eps)) 2))) (cbrt.f64 (.f64 x (/.f64 x (+.f64 x (-.f64 x eps))))) (-.f64 (+.f64 (neg.f64 eps) (.f64 x -2)) (/.f64 (pow.f64 (-.f64 eps x) 2) (+.f64 x (-.f64 x eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (neg.f64 (+.f64 x (+.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (-.f64 (neg.f64 (+.f64 x eps)) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps)))) (+.f64 (neg.f64 eps) (*.f64 x -2)))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
✓	0.1b	(*.f64 x (sin.f64 eps))
	1.5b	(+.f64 (cos.f64 eps) -1)
✓	2.5b	(*.f64 (pow.f64 x 3) (sin.f64 eps))

Compiler

Compiled 89 to 46 computations (48.3% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))
0.0ms	eps	@	inf	(*.f64 (pow.f64 x 3) (sin.f64 eps))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) (sin.f64 eps))
0.0ms	eps	@	0	(*.f64 (pow.f64 x 3) (sin.f64 eps))
0.0ms	x	@	0	(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`*-commutative`
942×	`sqrt-prod`
832×	`unswap-sqr`
664×	`swap-sqr`
422×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	247	51
2	2809	51

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) (sin.f64 eps))
(*.f64 x (sin.f64 eps))
(.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps)))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 (*.f64 (sin.f64 eps) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/6) (*.f64 x (cbrt.f64 (sin.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 (pow.f64 x 3) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6))))))))

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1214×	`associate-/l/`
1148×	`associate-/r/`
852×	`*-commutative`
848×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2163
1	484	2041
2	1680	1929
3	6144	1929

Stop Event

1×	node limit

Counts

87 → 111

Calls

Call 1

Inputs
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 eps (pow.f64 x 3))
(+.f64 (.f64 eps (pow.f64 x 3)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 eps (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 3)))))
(+.f64 (.f64 eps (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) (pow.f64 x 3))))))
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(.f64 1/6 (.f64 eps (pow.f64 x 3)))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 eps 7) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 1))))
(pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 1)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x (sin.f64 eps)))) 2)
(pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6))
(fabs.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 1))))
(pow.f64 (*.f64 x (sin.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2))
(fabs.f64 (*.f64 x (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 eps))))
(+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 1))))
(pow.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)) 1)
(pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (sin.f64 eps) 1/6))) 2)
(pow.f64 (.f64 (cbrt.f64 1/6) (.f64 x (cbrt.f64 (sin.f64 eps)))) 3)
(pow.f64 (.f64 1/36 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6)) 1/2)
(pow.f64 (.f64 1/216 (pow.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)) 3)) 1/3)
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6)))
(fabs.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)) 3)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))
(exp.f64 (log.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))

Outputs
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(*.f64 eps (pow.f64 x 3))
(+.f64 (.f64 eps (pow.f64 x 3)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 eps (pow.f64 x 3) (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(.f64 (pow.f64 x 3) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (.f64 eps (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/120 (*.f64 (pow.f64 eps 5) (pow.f64 x 3)))))
(fma.f64 eps (pow.f64 x 3) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) (.f64 1/120 (*.f64 (pow.f64 x 3) (pow.f64 eps 5)))))
(fma.f64 eps (pow.f64 x 3) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(.f64 (pow.f64 x 3) (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (.f64 1/120 (pow.f64 eps 5)))))
(+.f64 (.f64 eps (pow.f64 x 3)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) (pow.f64 x 3))))))
(fma.f64 eps (pow.f64 x 3) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) (fma.f64 1/120 (.f64 (pow.f64 x 3) (pow.f64 eps 5)) (.f64 -1/5040 (.f64 (pow.f64 x 3) (pow.f64 eps 7))))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(.f64 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 1/120 (pow.f64 eps 5) (.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 (sin.f64 eps) x)
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 eps x (.f64 -1/6 (.f64 x (pow.f64 eps 3))))
(.f64 x (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (.f64 -1/6 (*.f64 x (pow.f64 eps 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (.f64 x (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) x)) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) x)) (.f64 -1/5040 (*.f64 (pow.f64 eps 7) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (fma.f64 -1/6 (.f64 x (pow.f64 eps 3)) (.f64 -1/5040 (.f64 x (pow.f64 eps 7))))))
(fma.f64 1/120 (.f64 x (pow.f64 eps 5)) (fma.f64 eps x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/5040 (pow.f64 eps 7))))))
(.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 eps 7) (.f64 -1/6 (pow.f64 eps 3))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(.f64 x (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/5040 (pow.f64 eps 7) (.f64 -1/6 (pow.f64 eps 3)))))
(.f64 1/6 (.f64 eps (pow.f64 x 3)))
(.f64 (.f64 eps (pow.f64 x 3)) 1/6)
(.f64 eps (.f64 (pow.f64 x 3) 1/6))
(.f64 (pow.f64 x 3) (.f64 eps 1/6))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) -1/36))
(.f64 (pow.f64 x 3) (+.f64 (.f64 eps 1/6) (*.f64 (pow.f64 eps 3) -1/36)))
(.f64 (pow.f64 x 3) (fma.f64 eps 1/6 (.f64 (pow.f64 eps 3) -1/36)))
(+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (fma.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5)) (.f64 (.f64 (pow.f64 x 3) (pow.f64 eps 3)) -1/36)))
(fma.f64 (.f64 eps (pow.f64 x 3)) 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 eps 3) -1/36) (.f64 (pow.f64 eps 5) 1/720))))
(.f64 (pow.f64 x 3) (+.f64 (.f64 eps 1/6) (fma.f64 (pow.f64 eps 3) -1/36 (*.f64 (pow.f64 eps 5) 1/720))))
(+.f64 (.f64 -1/30240 (.f64 (pow.f64 eps 7) (pow.f64 x 3))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 eps 5) (pow.f64 x 3))) (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(fma.f64 -1/30240 (.f64 (pow.f64 x 3) (pow.f64 eps 7)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (fma.f64 1/720 (.f64 (pow.f64 x 3) (pow.f64 eps 5)) (.f64 (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) -1/36))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 eps 3) -1/36) (.f64 (pow.f64 eps 5) 1/720))) (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 eps 7) -1/30240) (.f64 eps 1/6))))
(.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 eps 3) -1/36 (.f64 (pow.f64 eps 5) 1/720)) (fma.f64 (pow.f64 eps 7) -1/30240 (*.f64 eps 1/6))))
(.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 eps 7) -1/30240 (.f64 eps 1/6)) (fma.f64 (pow.f64 eps 3) -1/36 (*.f64 (pow.f64 eps 5) 1/720))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))) -1)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))) 1)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 1))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) 1)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3))))) (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)))))))
(pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 1)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(pow.f64 (.f64 x (sqrt.f64 (.f64 x (sin.f64 eps)))) 2)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 3)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6) 1/2)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3) 1/3)
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (sin.f64 eps))) 6))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(fabs.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (pow.f64 x 3)))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)))))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps)) 3))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (pow.f64 x 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) -1)
(*.f64 (sin.f64 eps) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 (sin.f64 eps) x)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 1))
(*.f64 (sin.f64 eps) x)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 x (sin.f64 eps)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (sin.f64 eps) x)) (log1p.f64 (.f64 (sin.f64 eps) x)))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) x))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) x))) (exp.f64 (.f64 2 (log1p.f64 (.f64 (sin.f64 eps) x)))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (sin.f64 eps) x)))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) x))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (sin.f64 eps) x))))))
(pow.f64 (*.f64 x (sin.f64 eps)) 1)
(*.f64 (sin.f64 eps) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 eps))) 2)
(*.f64 (sin.f64 eps) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 eps))) 3)
(*.f64 (sin.f64 eps) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2) 1/2)
(*.f64 (sin.f64 eps) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3) 1/3)
(*.f64 (sin.f64 eps) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 2))
(*.f64 (sin.f64 eps) x)
(fabs.f64 (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 eps)))))
(*.f64 (sin.f64 eps) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 eps)) 3))
(*.f64 (sin.f64 eps) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 eps))))
(*.f64 (sin.f64 eps) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 eps))))
(*.f64 (sin.f64 eps) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 eps))))
(*.f64 (sin.f64 eps) x)
(+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) -1)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 1)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) 1/6)))) 1))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))) (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3))))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6)))) (pow.f64 (exp.f64 2) (log1p.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)))))))
(pow.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)) 1)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 (sin.f64 eps) 1/6))) 2)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(pow.f64 (.f64 (cbrt.f64 1/6) (.f64 x (cbrt.f64 (sin.f64 eps)))) 3)
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(pow.f64 (.f64 1/36 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6)) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6) 1/36))
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6)))
(pow.f64 (.f64 1/216 (pow.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)) 3)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)) 3) 1/216))
(sqrt.f64 (.f64 1/36 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6)))
(sqrt.f64 (.f64 (pow.f64 (.f64 x (cbrt.f64 (sin.f64 eps))) 6) 1/36))
(fabs.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 (pow.f64 x 3) (sin.f64 eps))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6)))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 (pow.f64 x 3) (sin.f64 eps)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 eps) (pow.f64 x 3)) 3) 1/216))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(exp.f64 (log.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))))
(.f64 (pow.f64 x 3) (.f64 (sin.f64 eps) 1/6))
(.f64 (sin.f64 eps) (.f64 1/6 (pow.f64 x 3)))
(.f64 (sin.f64 eps) (.f64 (pow.f64 x 3) 1/6))

eval654.0ms (3.4%)

Compiler: Compiled 55329 to 23219 computations (58% saved)

prune551.0ms (2.9%)

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	1498	17	1515
Fresh	6	45	51
Picked	1	0	1
Done	2	6	8
Total	1507	68	1575

Error

0.0b

Counts

1575 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	5.7b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	51.3b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	56.4b	(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
	35.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	61.9b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	35.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	58.1b	(/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	35.9b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 x (-.f64 x eps))) (.f64 (/.f64 (-.f64 eps x) 1) (/.f64 (-.f64 eps x) (+.f64 x (-.f64 x eps))))) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	37.2b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 x (-.f64 x eps))) (.f64 -1 (+.f64 eps (/.f64 x (/.f64 eps x))))) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	46.1b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 (.f64 -2 x) (.f64 1/4 eps)) (+.f64 eps (.f64 -1 (-.f64 eps (.f64 1/4 eps))))))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	56.5b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) (+.f64 eps (*.f64 x -2)))))) (cos.f64 x)) -1)
	43.8b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (fabs.f64 (cos.f64 (+.f64 eps x)))) -1)
	56.2b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 x x)))) (cos.f64 x)) -1)
	55.5b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) eps))) (cos.f64 x)) -1)
	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	55.7b	(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (+.f64 (-.f64 eps (+.f64 x (+.f64 eps (+.f64 x x)))) x))) (cos.f64 x)) -1)
	46.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (neg.f64 eps)) (neg.f64 (+.f64 x x))))) (cos.f64 (*.f64 1 (+.f64 x eps)))) -1)
	35.4b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x eps)) (neg.f64 x))))) (cos.f64 (.f64 1 (+.f64 x eps)))) -1)
	35.3b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (.f64 eps 0))) (cos.f64 (*.f64 1 (+.f64 x 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)))
	35.3b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.9b	(/.f64 0 -1)
	23.8b	(-.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))
	23.8b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
✓	23.8b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	23.9b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	5.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	54.3b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.7b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	31.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	5.7b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	23.8b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	52.1b	(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))
	32.5b	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
✓	35.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.8b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	35.2b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	35.1b	(-.f64 (cos.f64 eps) 1)
✓	5.7b	(+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
	6.2b	(+.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	16.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.8b	(+.f64 (.f64 (cos.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	5.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.2b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	22.3b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	31.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	51.1b	(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 -1/720 (pow.f64 eps 6))))
	5.9b	(+.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)))
	35.9b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	37.4b	(.f64 (/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 x)))) (+.f64 1 (exp.f64 (log1p.f64 (sin.f64 x))))) (neg.f64 eps))
	41.8b	(*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) (neg.f64 eps))
	11.5b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
✓	37.3b	(*.f64 (sin.f64 x) (neg.f64 eps))
	37.4b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (neg.f64 eps))
	37.3b	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (neg.f64 eps))
	51.7b	(*.f64 x (neg.f64 eps))
	56.1b	(*.f64 eps (sin.f64 x))
✓	50.8b	(.f64 -1/2 (.f64 eps eps))
	55.2b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.5b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	35.2b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	35.1b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	35.3b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 3))
	35.2b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))
	34.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2) 3))

Compiler

Compiled 1101 to 775 computations (29.6% saved)

regimes478.0ms (2.5%)

Counts

129 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

164.0ms	eps
158.0ms	x
109.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`eps`
4.5b	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2184 to 846 computations (61.3% saved)

bsearch104.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	3.018020885559136e-14	1.1692190886330504e-8
55.0ms	-1.1105025555040746e-15	-9.333443941497909e-23

Results

65.0ms	165×	body	1024	valid
17.0ms	64×	body	512	valid
11.0ms	19×	body	2048	valid
6.0ms	40×	body	256	valid

Compiler

Compiled 842 to 532 computations (36.8% saved)

regimes426.0ms (2.2%)

Counts

120 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

143.0ms	eps
141.0ms	x
103.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`eps`
4.5b	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1875 to 759 computations (59.5% saved)

bsearch95.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	3.018020885559136e-14	1.1692190886330504e-8
49.0ms	-1.1105025555040746e-15	-9.333443941497909e-23

Results

55.0ms	144×	body	1024	valid
20.0ms	78×	body	512	valid
10.0ms	16×	body	2048	valid
5.0ms	34×	body	256	valid

Compiler

Compiled 716 to 510 computations (28.8% saved)

regimes630.0ms (3.3%)

Counts

115 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

236.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
189.0ms	eps
169.0ms	x

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`eps`
4.5b	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1764 to 717 computations (59.4% saved)

bsearch79.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	3.018020885559136e-14	1.1692190886330504e-8
28.0ms	-1.1105025555040746e-15	-9.333443941497909e-23

Results

53.0ms	135×	body	1024	valid
13.0ms	53×	body	512	valid
4.0ms	29×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 551 to 397 computations (27.9% saved)

regimes384.0ms (2%)

Counts

93 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

128.0ms	eps
122.0ms	x
79.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`eps`
4.5b	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1393 to 597 computations (57.1% saved)

bsearch103.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	3.018020885559136e-14	1.1692190886330504e-8
53.0ms	-1.1105025555040746e-15	-9.333443941497909e-23

Results

56.0ms	142×	body	1024	valid
19.0ms	74×	body	512	valid
14.0ms	24×	body	2048	valid
8.0ms	48×	body	256	valid

Compiler

Compiled 698 to 514 computations (26.4% saved)

regimes611.0ms (3.2%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

272.0ms	x
199.0ms	eps
110.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.3b	3	`x`
0.4b	3	`eps`
4.5b	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1380 to 594 computations (57% saved)

bsearch150.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	3.018020885559136e-14	1.1692190886330504e-8
101.0ms	-1.1105025555040746e-15	-9.333443941497909e-23

Results

106.0ms	153×	body	1024	valid
20.0ms	75×	body	512	valid
11.0ms	20×	body	2048	valid
8.0ms	40×	body	256	valid

Compiler

Compiled 698 to 514 computations (26.4% saved)

regimes141.0ms (0.7%)

Counts

83 → 1

Calls

Call 1

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

Calls

3 calls:

37.0ms	eps
36.0ms	x
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
11.5b	1	`x`
11.5b	1	`eps`
11.5b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1220 to 526 computations (56.9% saved)

regimes175.0ms (0.9%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 0 -1)
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(*.f64 eps (sin.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 0 (cos.f64 x)) -1)
(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (.f64 eps 0))) (cos.f64 (*.f64 1 (+.f64 x eps)))) -1)
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) eps))) (cos.f64 x)) -1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 -1/720 (pow.f64 eps 6))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 x x)))) (cos.f64 x)) -1)
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x)))))

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

Calls

3 calls:

70.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
57.0ms	x
41.0ms	eps

Results

Error	Segments	Branch
13.7b	4	`x`
11.6b	3	`eps`
12.1b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 258 to 130 computations (49.6% saved)

bsearch137.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	5.376305536435333e-14	2493544085.4159822
75.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

74.0ms	239×	body	256	valid
42.0ms	53×	body	1024	valid
9.0ms	37×	body	512	valid
7.0ms	7×	body	2048	valid

Compiler

Compiled 518 to 367 computations (29.2% saved)

regimes174.0ms (0.9%)

Counts

21 → 4

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	x
39.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.5b	5	`x`
15.0b	4	`eps`
17.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 162 to 76 computations (53.1% saved)

bsearch173.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
43.0ms	5.376305536435333e-14	2493544085.4159822
111.0ms	-5.2495887230023295e-123	-6.642647260405396e-126
19.0ms	-0.006654395049231073	-0.0017302009979247755

Results

118.0ms	155×	body	1024	valid
26.0ms	174×	body	256	valid
15.0ms	22×	body	2048	valid
8.0ms	33×	body	512	valid

Compiler

Compiled 463 to 350 computations (24.4% saved)

regimes179.0ms (0.9%)

Counts

19 → 4

Calls

Call 1

Inputs
(/.f64 0 -1)
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(*.f64 eps (sin.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 0 (cos.f64 x)) -1)
(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)

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

Calls

3 calls:

77.0ms	x
58.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
40.0ms	eps

Results

Error	Segments	Branch
16.5b	5	`x`
15.1b	4	`eps`
17.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 141 to 66 computations (53.2% saved)

bsearch188.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
46.0ms	5.376305536435333e-14	2493544085.4159822
102.0ms	-5.2495887230023295e-123	-6.642647260405396e-126
39.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

113.0ms	168×	body	1024	valid
37.0ms	211×	body	256	valid
16.0ms	63×	body	512	valid
14.0ms	22×	body	2048	valid

Compiler

Compiled 478 to 358 computations (25.1% saved)

regimes76.0ms (0.4%)

Counts

9 → 4

Calls

Call 1

Inputs
(/.f64 0 -1)
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(*.f64 eps (sin.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(/.f64 (*.f64 0 (cos.f64 x)) -1)
(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))

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

Calls

2 calls:

51.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
20.1b	5	`x`
15.2b	4	`eps`

Compiler

Compiled 55 to 33 computations (40% saved)

bsearch140.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
43.0ms	5.376305536435333e-14	2493544085.4159822
62.0ms	-5.2495887230023295e-123	-6.642647260405396e-126
36.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

71.0ms	159×	body	1024	valid
30.0ms	228×	body	256	valid
17.0ms	26×	body	2048	valid
14.0ms	51×	body	512	valid

Compiler

Compiled 457 to 358 computations (21.7% saved)

regimes43.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
21.0ms	eps

Results

Error	Segments	Branch
32.6b	5	`x`
27.9b	4	`eps`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch125.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
39.0ms	5.376305536435333e-14	2493544085.4159822
50.0ms	-6.642647260405396e-126	-1.0849446192000484e-126
36.0ms	-0.0017302009979247755	-1.3808192129202523e-16

Results

52.0ms	131×	body	1024	valid
31.0ms	226×	body	256	valid
22.0ms	26×	body	2048	valid
13.0ms	49×	body	512	valid

Compiler

Compiled 408 to 317 computations (22.3% saved)

regimes19.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
7.0ms	eps

Results

Error	Segments	Branch
48.2b	2	`x`
48.5b	2	`eps`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch56.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	3.3538216062838496e-130	8.693917867007614e-125

Results

22.0ms	38×	body	2048	valid
20.0ms	50×	body	1024	valid
8.0ms	33×	body	512	valid
3.0ms	23×	body	256	valid

Compiler

Compiled 149 to 109 computations (26.8% saved)

regimes54.0ms (0.3%)

Accuracy

Total -4.8b remaining (-9.3%)

Threshold costs -4.8b (-9.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 0 -1)
(*.f64 x (neg.f64 eps))

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

Calls

2 calls:

50.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
51.7b	1	`x`
51.7b	1	`eps`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1288
1	185	1280
2	214	1280
3	227	1280
4	231	1280

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1298074214633707/81129638414606681695789005144064) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(if (<=.f64 x -934613434536269/10384593717069655257060992658440192) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -6490371073168535/1298074214633706907132624082305024) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -3143773488566009/5070602400912917605986812821504) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -8924260225606735/162259276829213363391578010288128) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 6813621976226733/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -7839866231326559/4611686018427387904) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1152921504606847/576460752303423488) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (if (<=.f64 eps 6800207735332289/9444732965739290427392) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4796153459164483/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3498129412289897/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 944473296573929/37778931862957161709568) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6828824953816233/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1431368170423721/38685626227668133590597632) (*.f64 x (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 x 2619875644949029/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 -1/2 (.f64 eps eps)) (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(/.f64 0 -1)

Outputs
(if (<=.f64 x -1298074214633707/81129638414606681695789005144064) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(if (or (<=.f64 x -1298074214633707/81129638414606681695789005144064) (not (<=.f64 x 4912146075884389/158456325028528675187087900672))) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(if (or (<=.f64 x -1298074214633707/81129638414606681695789005144064) (not (<=.f64 x 4912146075884389/158456325028528675187087900672))) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 x) (cos.f64 x))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(if (<=.f64 x -934613434536269/10384593717069655257060992658440192) (+.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -934613434536269/10384593717069655257060992658440192) (+.f64 (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -934613434536269/10384593717069655257060992658440192) (+.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 x -6490371073168535/1298074214633706907132624082305024) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -6490371073168535/1298074214633706907132624082305024) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -6490371073168535/1298074214633706907132624082305024) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 x -3143773488566009/5070602400912917605986812821504) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -3143773488566009/5070602400912917605986812821504) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -3143773488566009/5070602400912917605986812821504) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 x 4912146075884389/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))
(if (<=.f64 x -8924260225606735/162259276829213363391578010288128) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 6813621976226733/158456325028528675187087900672) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -8924260225606735/162259276829213363391578010288128) (not (<=.f64 x 6813621976226733/158456325028528675187087900672))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (.f64 -2 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -7839866231326559/4611686018427387904) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1152921504606847/576460752303423488) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7839866231326559/4611686018427387904) (not (<=.f64 eps 1152921504606847/576460752303423488))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps))) (.f64 (sin.f64 x) eps)))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (if (<=.f64 eps 6800207735332289/9444732965739290427392) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (if (<=.f64 eps 6800207735332289/9444732965739290427392) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4796153459164483/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3498129412289897/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4796153459164483/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -3498129412289897/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1770887431076117/2361183241434822606848) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 944473296573929/37778931862957161709568) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -7740541678258495/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 944473296573929/37778931862957161709568) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -6828824953816233/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1431368170423721/38685626227668133590597632) (*.f64 x (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7526271582073497/73786976294838206464) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -6828824953816233/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1431368170423721/38685626227668133590597632) (*.f64 x (neg.f64 eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 x 2619875644949029/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 -1/2 (.f64 eps eps)) (*.f64 x (neg.f64 eps)))
(*.f64 x (neg.f64 eps))
(/.f64 0 -1)
0

Compiler

Compiled 475 to 306 computations (35.6% saved)

soundness278.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1340×	`associate-r`
1276×	`associate-/l*`
1192×	`associate-l`
1150×	`+-commutative`
1002×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	26480
1	2475	24384
0	869	28115
1	2521	27947

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 445 to 165 computations (62.9% saved)

end247.0ms (1.3%)

Compiler: Compiled 449 to 208 computations (53.7% 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