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)

sample4.1s (26.3%)

Results

1.8s	2096×	body	2048	valid
1.7s	3975×	body	1024	valid
444.0ms	1403×	body	512	valid
118.0ms	781×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess41.0ms (0.3%)

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)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	5.0b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
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Outputs

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simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

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

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

eval107.0ms (0.7%)

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

prune144.0ms (0.9%)

Pruning

42 alts after pruning (41 fresh and 1 done)

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

Error

0.1b

Counts

287 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	41.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	32.4b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.5b	(/.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))))
	41.1b	(/.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)
	41.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.7b	(-.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))
	23.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶	32.5b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	41.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	23.9b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	23.9b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	23.8b	(-.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))
	55.6b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	23.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	43.2b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	23.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	41.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
▶	47.5b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	41.4b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.3b	(-.f64 (cos.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1))
	41.4b	(-.f64 (cos.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (cos.f64 x))))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	40.8b	(-.f64 (cos.f64 eps) 1)
	43.1b	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
▶	7.4b	(+.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)))
	32.7b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	34.1b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	38.9b	(*.f64 (neg.f64 eps) (sin.f64 x))
	41.7b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	34.0b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x)))))
	17.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	41.4b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.4b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	55.4b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	49.6b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.4b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1543 to 952 computations (38.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 12 computations (77.8% saved)

series40.0ms (0.3%)

Counts

4 → 92

Calls

24 calls:

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

rewrite154.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify201.0ms (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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite103.0ms (0.7%)

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)))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	5.0b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`*-commutative`
828×	`associate-*r/`
676×	`distribute-lft-in`
664×	`distribute-rgt-in`
638×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	223	32
2	3151	32

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`+-commutative`
1290×	`associate-+r-`
948×	`associate--r+`
890×	`fma-def`
600×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	10256
1	1222	9398
2	6012	9398

Stop Event

1×	node limit

Counts

186 → 280

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
✓	0.4b	(expm1.f64 (cos.f64 (+.f64 x eps)))
	5.0b	(cos.f64 (+.f64 x eps))
✓	6.7b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite134.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

simplify203.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

255 → 339

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 eps (sin.f64 x))
✓	0.3b	(.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))
✓	2.8b	(*.f64 (sin.f64 x) (pow.f64 eps 3))
✓	9.0b	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

Compiler

Compiled 77 to 36 computations (53.2% saved)

series11.0ms (0.1%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
2.0ms	eps	@	-inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	x	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	0	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
1.0ms	eps	@	inf	(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

160 → 162

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/6 (*.f64 (pow.f64 eps 3) x)))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 -1/2 (*.f64 eps eps)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 1/4 (.f64 (.f64 eps eps) (.f64 x x)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (.f64 (.f64 eps eps) (.f64 (.f64 x x) 1/4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (.f64 x x) 1/4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (fma.f64 -1/36 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (pow.f64 eps 3) x) (fma.f64 1/4 (.f64 eps (.f64 eps (.f64 x x))) (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) -1/36)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 -1/2 (.f64 (.f64 x x) 1/4))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 1/6) (*.f64 (pow.f64 x 3) -1/36))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)))
(.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) 3) (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (pow.f64 eps 3)) 3)) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (*.f64 1/6 (sin.f64 x)) (pow.f64 eps 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) 3) (pow.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))) 3)) (fma.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)) (.f64 (cos.f64 x) (.f64 (.f64 -1/2 (.f64 eps eps)) (-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))) 3)) (fma.f64 (cos.f64 x) (.f64 (.f64 -1/2 (.f64 eps eps)) (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/6)))) (.f64 1/36 (.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x))) 3)) (fma.f64 (cos.f64 x) (.f64 -1/2 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 (.f64 1/6 (sin.f64 x)) eps))))) (.f64 1/36 (pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 6))))
(pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1)
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 2)
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))) 3)
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3) 1/3)
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 2))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 3))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))))))
(fma.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x)) (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)))
(fma.f64 (pow.f64 eps 3) (.f64 1/6 (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (*.f64 1/6 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (*.f64 eps (cbrt.f64 (sin.f64 x))) 3)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3) 1/3)
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (pow.f64 eps 3) (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 3)) (sin.f64 x)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 3))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 3) 3)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (pow.f64 eps 3))) 1))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (pow.f64 eps 3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))) 1)
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 1)
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 x) -1/2)) eps) 2)
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))) 3)
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(sqrt.f64 (.f64 (.f64 (pow.f64 eps 4) 1/4) (pow.f64 (cos.f64 x) 2)))
(sqrt.f64 (.f64 (pow.f64 eps 4) (.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (.f64 1/4 (.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2))))
(fabs.f64 (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2) (cos.f64 x)))
(.f64 (cos.f64 x) (.f64 -1/2 (log.f64 (pow.f64 (exp.f64 eps) eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))))))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2))) 3))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (cos.f64 x) 3)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2)))) 1))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (.f64 eps (*.f64 eps -1/2)))))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) eps))) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) eps) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) eps)) 2)
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) eps)) 3)
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3) 1/3)
(*.f64 eps (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 2))
(*.f64 eps (sin.f64 x))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) eps))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) eps) 3))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 eps (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) eps)) 1))
(*.f64 eps (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) eps)))
(*.f64 eps (sin.f64 x))

eval541.0ms (3.5%)

Compiler: Compiled 40524 to 14307 computations (64.7% saved)

prune662.0ms (4.3%)

Pruning

60 alts after pruning (58 fresh and 2 done)

	Pruned	Kept	Total
New	1508	46	1554
Fresh	24	12	36
Picked	1	0	1
Done	3	2	5
Total	1536	60	1596

Error

0.0b

Counts

1596 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))))
	50.0b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.1b	(/.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)
	40.9b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	34.6b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.0b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	41.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	24.1b	(-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
	23.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	33.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	7.4b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	61.7b	(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	39.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	32.4b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	32.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
▶	7.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	23.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	32.6b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	41.3b	(-.f64 (log1p.f64 (-.f64 (exp.f64 (cos.f64 eps)) 1)) (cos.f64 x))
	23.9b	(-.f64 (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
	41.3b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	47.6b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.7b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	47.4b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.8b	(-.f64 (cos.f64 eps) 1)
▶	32.7b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (/.f64 (.f64 (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) 3))) (+.f64 (pow.f64 (cos.f64 x) 4) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.7b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3) (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) 3)) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.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 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	12.6b	(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.8b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.4b	(+.f64 (+.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.3b	(+.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)))
	19.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	7.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	18.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	9.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	32.2b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	41.3b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	34.0b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
	38.9b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	49.6b	(.f64 -1/2 (.f64 eps eps))
▶	17.2b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	54.6b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	40.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
	40.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	49.6b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	40.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1991 to 1335 computations (32.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

4 → 68

Calls

21 calls:

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

rewrite153.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1300×	`associate-*l/`
500×	`associate-+l+`
336×	`add-sqr-sqrt`
330×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	313	88
2	4291	72

Stop Event

1×	node limit

Counts

4 → 335

Calls

Call 1

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

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

simplify223.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-r`
994×	`+-commutative`
912×	`associate-+r+`
878×	`associate-l`
810×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	25585
1	2399	22969

Stop Event

1×	node limit

Counts

403 → 532

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 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(-.f64 (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 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 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) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 -1/720 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))) 1)
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) 1))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1))))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) -1))))
(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)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 eps) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (.f64 (sin.f64 eps) x))
(.f64 (sin.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (.f64 (sin.f64 eps) x))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 x (.f64 -1/5040 (pow.f64 x 7)))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(.f64 (sin.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.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)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 eps (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.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))))))
(fma.f64 -1/5040 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(-.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 (sin.f64 eps) x))) -1)
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
(-.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 (sin.f64 eps) x) (.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) x)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 (sin.f64 eps) x) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1))))) 1))
(+.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 x) eps) eps)) (.f64 eps (sin.f64 x)))))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 4) (+.f64 -1/24 (.f64 (cos.f64 eps) 1/24)))) -1))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))) 1)
(+.f64 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (cos.f64 eps) -1)))))) -1)
(+.f64 -1 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 4) (+.f64 -1/24 (*.f64 (cos.f64 eps) 1/24)))))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 (cos.f64 x) eps) eps))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x)) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(+.f64 (cos.f64 eps) -1)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
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(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
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(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
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(-.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x)))
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(-.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x)))
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(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cos.f64 x)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 -1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (.f64 (.f64 (cos.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cos.f64 x)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (cos.f64 x) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 eps) (*.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 eps) -1)))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

localize5.0ms (0%)

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

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.3b

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

✓

4.8b

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

Compiler

Compiled 88 to 34 computations (61.4% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`associate-*l/`
1076×	`*-commutative`
398×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
384×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	119
1	393	51
2	5797	51

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1060×	`distribute-rgt-in`
1054×	`distribute-lft-in`
612×	`associate-r`
604×	`associate-+r+`
540×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	4540
1	695	4082
2	3046	3724

Stop Event

1×	node limit

Counts

136 → 182

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(.f64 1/2 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 1/2 (*.f64 eps (sin.f64 x))))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(.f64 (sin.f64 (.f64 eps 1/2)) 1)
(.f64 1 (sin.f64 (.f64 eps 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(fabs.f64 (sin.f64 (*.f64 eps 1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 eps 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 eps) 2))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)) 2)
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) -2)
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) 1/2) (+.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (cos.f64 eps) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))) 1)
(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) -2)) (sqrt.f64 2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2) -2)
(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) 2)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 1)
(pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))

Outputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 -1/8 (.f64 eps (.f64 (sin.f64 x) eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/2 eps) (.f64 -1/48 (pow.f64 eps 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 eps eps)) 1) (sin.f64 x)))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 (.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/2 (*.f64 x x)) 1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)))))
(+.f64 (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 (.f64 1/2 eps)))) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (fma.f64 x (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/2 (.f64 x x)) 1))) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 3) -1/6)))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(.f64 1/2 (.f64 eps (sin.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) eps))
(.f64 (sin.f64 x) (.f64 1/2 eps))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 1/2 (.f64 (sin.f64 x) eps)))
(fma.f64 1/2 (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) 1/4)))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (sin.f64 x) (.f64 1/2 eps)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (.f64 1/2 (*.f64 (sin.f64 x) eps))))
(fma.f64 (.f64 (.f64 eps eps) 1/4) (cos.f64 x) (fma.f64 1/2 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (*.f64 -1/12 (pow.f64 eps 3)))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 1/2 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 1/2 (.f64 (sin.f64 x) eps)))))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (.f64 (sin.f64 x) eps) (.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 4))))))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (.f64 -1/12 (pow.f64 eps 3))))) (.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4))))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
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(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)))
(sin.f64 (*.f64 1/2 eps))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(sin.f64 (*.f64 1/2 eps))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (/.f64 (cbrt.f64 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 2)) (cbrt.f64 (sin.f64 (.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1/2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 eps))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(sin.f64 (*.f64 1/2 eps))
(fabs.f64 (sin.f64 (*.f64 eps 1/2)))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(sin.f64 (*.f64 1/2 eps))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(sin.f64 (*.f64 1/2 eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 eps 1/2)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(-.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 eps) 2))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)) 2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))))
(.f64 (/.f64 (sin.f64 (.f64 1/2 eps)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) -2)
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 2)) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (/.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 4) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (/.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 4) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) 1/2) (+.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps)))
(/.f64 (.f64 1/2 (-.f64 (.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 eps) (cos.f64 eps)))) (+.f64 (cos.f64 0) (cos.f64 eps)))
(.f64 (/.f64 (-.f64 1 (.f64 (cos.f64 eps) (cos.f64 eps))) (+.f64 1 (cos.f64 eps))) 1/2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (cos.f64 eps) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 eps) 3))) (+.f64 (fma.f64 (cos.f64 0) (cos.f64 0) (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 0) (cos.f64 eps))))
(/.f64 (.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 1/2 (+.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) (cos.f64 eps)))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))) 1)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
(neg.f64 (-.f64 (cos.f64 0) (cos.f64 eps)))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 2)
(neg.f64 (-.f64 (cos.f64 0) (cos.f64 eps)))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) (.f64 (sin.f64 (.f64 eps 1/2)) -2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 eps))) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (/.f64 (sqrt.f64 2) (.f64 (sin.f64 (.f64 1/2 eps)) -2)))
(.f64 (.f64 (/.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) -2)
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) -2) -2)
(neg.f64 (-.f64 (cos.f64 0) (cos.f64 eps)))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))) 1) 2)
(neg.f64 (-.f64 (cos.f64 0) (cos.f64 eps)))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 1)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 -2)) 2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3) 1/3)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(sqrt.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) 2) 4))
(sqrt.f64 (.f64 4 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2)))
(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2) 3))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.3b	(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))

Compiler

Compiled 50 to 18 computations (64% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite148.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`distribute-rgt-in`
598×	`distribute-lft-in`
546×	`associate-*r/`
450×	`associate-*l/`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	316	67
2	4191	67

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

Outputs

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simplify196.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-r`
1186×	`times-frac`
1136×	`associate-l`
804×	`associate-/l*`
652×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	484	17990
1	1446	17340

Stop Event

1×	node limit

Counts

238 → 333

Calls

Call 1

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

Outputs
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 (.f64 -1/2 eps) eps)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 1/4 (.f64 eps eps)) (*.f64 x x)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 1/4 (.f64 eps eps)) (*.f64 x x))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/1440 (.f64 (.f64 eps eps) (pow.f64 x 6)) (.f64 (.f64 1/4 (.f64 eps eps)) (*.f64 x x)))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/1440 (.f64 eps (.f64 eps (pow.f64 x 6))) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4)))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(+.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (*.f64 -1/120 (pow.f64 eps 5)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 (.f64 -1/2 eps) eps)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 x (sin.f64 eps))))
(fma.f64 -1/2 (.f64 eps eps) (neg.f64 (.f64 x (sin.f64 eps))))
(-.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 x (sin.f64 eps)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 1/4 (.f64 eps eps)) (.f64 x x))))
(fma.f64 -1/2 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x x) 1/4)) (.f64 x (sin.f64 eps))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (.f64 1/4 (.f64 eps eps)) (*.f64 x x)))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (fma.f64 -1/2 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 x x) 1/4))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.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))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
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(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))) 3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3) 1/3)
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))))) 1))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps eps) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (sin.f64 x) (sin.f64 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 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) -1/2 (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 -1/2 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(neg.f64 (sin.f64 x))
(-.f64 0 (sin.f64 x))
(neg.f64 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) -1)
(neg.f64 (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 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (-.f64 0 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(sin.f64 x)
(*.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (-.f64 0 (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
(/.f64 (sin.f64 x) -1)
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (sin.f64 x) -1)
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (sin.f64 x) -1)
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 3))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (sin.f64 x) -1))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) 1) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (sin.f64 x) -1)
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) -1) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) -1) (+.f64 (pow.f64 (sin.f64 x) 2) 0))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 3))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (sin.f64 x) -1))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) 1) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) -1) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (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)
(neg.f64 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(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)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (pow.f64 eps 4))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
	0.3b	(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
✓	16.0b	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))

Compiler

Compiled 85 to 38 computations (55.3% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
1.0ms	x	@	-inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
1.0ms	x	@	0	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
0.0ms	eps	@	inf	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))
0.0ms	eps	@	0	(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`unswap-sqr`
926×	`swap-sqr`
538×	`sqr-pow`
516×	`pow-sqr`
382×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	326	64
2	3726	58

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1) 1) (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1288×	`fma-def`
1032×	`*-commutative`
954×	`unswap-sqr`
724×	`times-frac`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4338
1	600	4270
2	2242	4206

Stop Event

1×	node limit

Counts

92 → 105

Calls

Call 1

Inputs
(+.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 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(+.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 -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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.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 -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 1/24 (.f64 (pow.f64 eps 4) (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 -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 1/24 (.f64 (pow.f64 eps 4) (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 -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))))
(pow.f64 eps 4)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (pow.f64 eps 4))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (pow.f64 eps 4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 4) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 4) (pow.f64 x 6))) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(+.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))
(+.f64 (.f64 1 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) 1) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))))) (-.f64 1 (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))))) 1)
(.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps eps) -1/2)))
(.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 1)
(.f64 1 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))) (.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) (sqrt.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 3/2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3) 1/6) (pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4)))) 3) 1/6))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps eps) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4))) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3))) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) 1) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) 1) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4) (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) (-.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 1)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 2))
(log.f64 (exp.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))

Outputs
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 eps (.f64 eps 1/4))) (.f64 x x) (.f64 eps (*.f64 eps -1/2))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 eps (.f64 eps 1/4) (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (.f64 eps (*.f64 eps -1/2))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/48)) (pow.f64 x 4) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 eps (.f64 eps 1/4))) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 eps (.f64 eps 1/4) (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (fma.f64 eps (.f64 eps -1/2) (.f64 (fma.f64 eps (.f64 eps -1/48) (*.f64 (pow.f64 eps 4) 1/576)) (pow.f64 x 4)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 (+.f64 (.f64 1/1440 (pow.f64 eps 2)) (.f64 -1/17280 (pow.f64 eps 4))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 eps 4)) (.f64 -1/48 (pow.f64 eps 2))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4))) (pow.f64 x 2))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 1/1440 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/17280)) (pow.f64 x 6) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (fma.f64 1/576 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/48)) (pow.f64 x 4) (.f64 (fma.f64 1/4 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/48)) (*.f64 x x))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/17280 (.f64 eps (.f64 eps 1/1440))) (pow.f64 x 6) (fma.f64 eps (.f64 eps -1/2) (fma.f64 (fma.f64 (pow.f64 eps 4) -1/48 (.f64 eps (.f64 eps 1/4))) (.f64 x x) (.f64 (fma.f64 (pow.f64 eps 4) 1/576 (.f64 eps (*.f64 eps -1/48))) (pow.f64 x 4))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 (fma.f64 eps (.f64 eps 1/1440) (.f64 (pow.f64 eps 4) -1/17280)) (pow.f64 x 6) (fma.f64 (fma.f64 eps (.f64 eps 1/4) (.f64 (pow.f64 eps 4) -1/48)) (.f64 x x) (fma.f64 eps (.f64 eps -1/2) (.f64 (fma.f64 eps (.f64 eps -1/48) (*.f64 (pow.f64 eps 4) 1/576)) (pow.f64 x 4))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -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))))
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(/.f64 (-.f64 (.f64 (pow.f64 eps 8) (.f64 1/576 (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) 3) (.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3))) (fma.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 -1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))))
(/.f64 (fma.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 eps (.f64 eps (cos.f64 x))) 3))) (fma.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 6) -1/8) (.f64 (pow.f64 eps 12) 1/13824))) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (pow.f64 eps 4) -1/24)))) (.f64 (cos.f64 x) (*.f64 1/576 (pow.f64 eps 8))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4))) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 eps (.f64 eps -1/2)))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (*.f64 eps eps) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) (.f64 1/576 (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps 1/2)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3))) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) 3) (.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3))) (fma.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 -1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))))
(/.f64 (fma.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 eps (.f64 eps (cos.f64 x))) 3))) (fma.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 6) -1/8) (.f64 (pow.f64 eps 12) 1/13824))) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (pow.f64 eps 4) -1/24)))) (.f64 (cos.f64 x) (*.f64 1/576 (pow.f64 eps 8))))))
(/.f64 (.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) 1) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (*.f64 eps eps) -1/2))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 eps (.f64 eps -1/2)))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (*.f64 eps eps) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) (.f64 1/576 (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) 3) (pow.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 3)) 1) (+.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) 3) (.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3))) (fma.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 -1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))))
(/.f64 (fma.f64 1/13824 (pow.f64 (.f64 (pow.f64 eps 4) (cos.f64 x)) 3) (.f64 -1/8 (pow.f64 (.f64 eps (.f64 eps (cos.f64 x))) 3))) (fma.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4)))) (.f64 1/576 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (.f64 (pow.f64 eps 6) -1/8) (.f64 (pow.f64 eps 12) 1/13824))) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (pow.f64 eps 4) -1/24)))) (.f64 (cos.f64 x) (*.f64 1/576 (pow.f64 eps 8))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4) (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4) (.f64 -1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 -1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4) (.f64 -1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))) (.f64 (cos.f64 x) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4)))))
(/.f64 (fma.f64 -1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) -1/24))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1)) (pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 4)) (-.f64 (.f64 (.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1) (.f64 (cos.f64 x) (.f64 -1/2 (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (-.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 eps (.f64 eps -1/2)))))
(/.f64 (-.f64 (.f64 1/576 (.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (*.f64 eps eps) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 8) (.f64 1/576 (pow.f64 (cos.f64 x) 2))) (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 4)) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps 1/2)))))
(pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 1)
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 2)
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))) 3)
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(pow.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3) 1/3)
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 2))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(log.f64 (exp.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) 3))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(exp.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))) 1))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) 1)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 1)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (.f64 (.f64 eps eps) (sqrt.f64 (cos.f64 x))) 2)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))) 3)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3) 1/3)
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(sqrt.f64 (*.f64 (pow.f64 eps 8) (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (pow.f64 eps 4) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (cos.f64 x)))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4)) 3))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 12)))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 12) (pow.f64 (cos.f64 x) 3)))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (pow.f64 eps 4))) 1))
(*.f64 (pow.f64 eps 4) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(*.f64 (pow.f64 eps 4) (cos.f64 x))

eval774.0ms (5%)

Compiler: Compiled 40923 to 17544 computations (57.1% saved)

prune434.0ms (2.8%)

Pruning

73 alts after pruning (69 fresh and 4 done)

	Pruned	Kept	Total
New	1276	34	1310
Fresh	18	35	53
Picked	1	0	1
Done	2	4	6
Total	1297	73	1370

Error

0.0b

Counts

1370 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	7.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	7.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	34.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
	34.6b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.0b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	40.9b	(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
	23.7b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	29.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2) (.f64 (sin.f64 x) (sin.f64 eps)))
	41.6b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
▶	0.6b	(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	33.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	7.4b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	32.4b	(-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps (.f64 1/6 (sin.f64 x))))) (.f64 eps (sin.f64 x)))
	32.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	7.4b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.5b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))
	7.8b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
	37.9b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
✓	7.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	39.8b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	34.0b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	32.2b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	7.5b	(-.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	23.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	32.6b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
	41.3b	(-.f64 (log1p.f64 (-.f64 (exp.f64 (cos.f64 eps)) 1)) (cos.f64 x))
▶	41.3b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	47.6b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.7b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	47.4b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	29.1b	(-.f64 (exp.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	55.6b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.8b	(-.f64 (cos.f64 eps) 1)
	23.8b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	18.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	33.4b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	32.3b	(+.f64 (.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	46.7b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2))))
	35.2b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))))
▶	32.3b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 x))))))
	35.2b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (log.f64 (exp.f64 (sin.f64 x))))))
	32.3b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (expm1.f64 (log1p.f64 (sin.f64 x))))))
	32.8b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)))))
	32.6b	(+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.7b	(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	43.1b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) x)) -1))
	41.3b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	34.0b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
▶	38.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	49.6b	(.f64 -1/2 (.f64 eps eps))
	34.9b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 3))
	34.4b	(.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))
	49.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
	37.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 x)))
	17.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
	54.6b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.6b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	40.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
▶	40.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	49.6b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	40.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2083 to 1523 computations (26.9% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 29 computations (54.7% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	eps	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	eps	@	-inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	x	@	-inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

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

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

simplify183.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

176 → 232

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.f64 -1/24 (cos.f64 x)))))
(.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4)))))))
(-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.f64 -1/24 (cos.f64 x))))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (*.f64 (cos.f64 x) 1/96))))
(-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (fma.f64 -1 (.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -1/630) (fma.f64 -1/2880 (cos.f64 x) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4))) (.f64 (.f64 (cos.f64 x) -1/24) 1/48))))) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (*.f64 (cos.f64 x) -1/24) -1/4))))))))
(-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (neg.f64 (fma.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -5/4032) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)) (.f64 (cos.f64 x) -1/1152))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)))))) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (cos.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (neg.f64 (fma.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -1/2688) (.f64 -1/4 (.f64 (cos.f64 x) 1/720))) (.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 1/720)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (-.f64 (*.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 1/720 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 6)))))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 1/720 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 (/.f64 1/720 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
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(pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (cos.f64 eps) 1)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 x))))
(*.f64 (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(fabs.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))

localize6.0ms (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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (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 (0.4%)

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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 89

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 eps)))
✓	0.6b	(expm1.f64 (cos.f64 eps))
✓	3.3b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`add-sqr-sqrt`
1974×	`*-un-lft-identity`
1838×	`add-cube-cbrt`
1818×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	202	29
2	2400	29

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1024×	`unswap-sqr`
788×	`associate-+l+`
636×	`*-commutative`
606×	`associate-+r+`
596×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2459
1	551	2333
2	2525	2295

Stop Event

1×	node limit

Counts

123 → 134

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 x)))
✓	0.2b	(expm1.f64 (sin.f64 x))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 x)))))
	0.3b	(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))

Compiler

Compiled 63 to 20 computations (68.3% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (sin.f64 x))
0.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 x)))))
0.0ms	x	@	inf	(expm1.f64 (sin.f64 x))
0.0ms	x	@	-inf	(expm1.f64 (sin.f64 x))
0.0ms	x	@	0	(*.f64 (sin.f64 eps) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 x)))))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1572×	`add-cube-cbrt`
1550×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	216	29
2	2449	29

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(*.f64 (sin.f64 eps) (neg.f64 (log1p.f64 (expm1.f64 (sin.f64 x)))))
(expm1.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (sin.f64 x)))

Outputs

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

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1408×	`distribute-rgt-in`
1402×	`distribute-lft-in`
990×	`associate-/l*`
864×	`associate-+r+`
600×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1810
1	484	1732
2	2437	1684

Stop Event

1×	node limit

Counts

114 → 132

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/15 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
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)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(-.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) 1)
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (exp.f64 (sin.f64 x)) -1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(*.f64 (expm1.f64 (sin.f64 x)) 1)
(*.f64 1 (expm1.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 x))) (sqrt.f64 (expm1.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 2) (cbrt.f64 (expm1.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x))) 1) (+.f64 (exp.f64 (sin.f64 x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x))) (+.f64 1 (.f64 (exp.f64 (sin.f64 x)) 1))))
(pow.f64 (expm1.f64 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 x))))
(+.f64 0 (sin.f64 x))
(-.f64 0 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.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 (sqrt.f64 (sin.f64 x)) (neg.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 -1 (sin.f64 x))
(.f64 (.f64 -1 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 0 (sin.f64 x)))))
(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)
(neg.f64 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (neg.f64 (.f64 eps (sin.f64 x))))
(.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 1/6 (pow.f64 eps 3))))
(.f64 (sin.f64 x) (-.f64 (.f64 1/6 (pow.f64 eps 3)) eps))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 -1/120 (pow.f64 eps 5)))) (.f64 eps (sin.f64 x)))
(.f64 (sin.f64 x) (-.f64 (+.f64 (.f64 -1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3))) eps))
(+.f64 (.f64 1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (neg.f64 (.f64 eps (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (.f64 -1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3)))))
(.f64 (sin.f64 x) (+.f64 (+.f64 (.f64 -1/120 (pow.f64 eps 5)) (neg.f64 eps)) (+.f64 (.f64 1/6 (pow.f64 eps 3)) (.f64 1/5040 (pow.f64 eps 7)))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 x (sin.f64 eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(*.f64 x (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))
(fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (.f64 x (sin.f64 eps))))
(.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3))))
(.f64 (sin.f64 eps) (-.f64 (.f64 1/6 (pow.f64 x 3)) 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 -1 (.f64 x (sin.f64 eps)))))
(fma.f64 -1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 3)))) (.f64 x (sin.f64 eps)))
(.f64 (sin.f64 eps) (-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) x))
(+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(fma.f64 -1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))) (.f64 (sin.f64 eps) (+.f64 (.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7)))))
(.f64 (sin.f64 eps) (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (.f64 -1/120 (pow.f64 x 5)))))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/15 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/15 (pow.f64 x 5) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 5) -1/15 (fma.f64 -1/8 (pow.f64 x 4) x)))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 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)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(-.f64 0 (*.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) 1)
(*.f64 (sin.f64 x) (sin.f64 eps))
(/.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) 2)
(pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (sin.f64 eps))
(neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (sin.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(+.f64 (exp.f64 (sin.f64 x)) -1)
(expm1.f64 (sin.f64 x))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(*.f64 (expm1.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(*.f64 1 (expm1.f64 (sin.f64 x)))
(expm1.f64 (sin.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 x))) (sqrt.f64 (expm1.f64 (sin.f64 x))))
(expm1.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 2))
(expm1.f64 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 2) (cbrt.f64 (expm1.f64 (sin.f64 x))))
(expm1.f64 (sin.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x))) 1) (+.f64 (exp.f64 (sin.f64 x)) 1))
(/.f64 (fma.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x)) -1) (+.f64 (exp.f64 (sin.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 (sin.f64 x) 2)) (+.f64 (exp.f64 (sin.f64 x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1) (+.f64 (.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x))) (+.f64 1 (.f64 (exp.f64 (sin.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) -1) (fma.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 x)) (+.f64 (exp.f64 (sin.f64 x)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 x)) 3)) (+.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (exp.f64 (*.f64 (sin.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 x)) 3)) (+.f64 1 (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (exp.f64 (sin.f64 x)) 1))))
(pow.f64 (expm1.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 x))) 2)
(expm1.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 x))) 3)
(expm1.f64 (sin.f64 x))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 3) 1/3)
(expm1.f64 (sin.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 2))
(fabs.f64 (expm1.f64 (sin.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 x))))
(expm1.f64 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 x)))))
(expm1.f64 (sin.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 x)) 3))
(expm1.f64 (sin.f64 x))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 x))))
(expm1.f64 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 x))) 1))
(expm1.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 x))))
(expm1.f64 (sin.f64 x))
(+.f64 0 (sin.f64 x))
(sin.f64 x)
(-.f64 0 (sin.f64 x))
(neg.f64 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) -1)
(neg.f64 (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 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))))
(neg.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))))
(neg.f64 (sin.f64 x))
(*.f64 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(.f64 (.f64 -1 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(neg.f64 (sin.f64 x))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)))
(/.f64 (-.f64 0 (pow.f64 (sin.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 0 (sin.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (+.f64 0 (pow.f64 (sin.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))
(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)
(neg.f64 (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)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)

eval274.0ms (1.8%)

Compiler: Compiled 17246 to 8926 computations (48.2% saved)

prune247.0ms (1.6%)

Pruning

83 alts after pruning (75 fresh and 8 done)

	Pruned	Kept	Total
New	832	27	859
Fresh	16	48	64
Picked	1	0	1
Done	0	8	8
Total	849	83	932

Error

0.0b

Counts

932 → 83

Alt Table

Click to see full alt table

Status	Error	Program
	7.3b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
	7.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	34.7b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)) 3)
	34.6b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	40.9b	(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 eps))))
	41.4b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	26.3b	(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))
✓	0.6b	(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	17.5b	(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	0.8b	(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	7.5b	(-.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	35.6b	(-.f64 (/.f64 (.f64 (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	7.4b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	42.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	39.8b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	32.2b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x)))
	7.4b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.7b	(-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (sin.f64 eps)))
	32.5b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))
	7.8b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 3))
	37.9b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
✓	7.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
	39.8b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	34.0b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	7.5b	(-.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.8b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))
	23.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	32.6b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x)))
✓	41.3b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	7.4b	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
	47.6b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	54.7b	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	47.4b	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	29.1b	(-.f64 (exp.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.3b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.8b	(-.f64 (cos.f64 eps) 1)
	54.6b	(-.f64 1 (cos.f64 x))
	23.8b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	18.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	33.4b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	32.3b	(+.f64 (.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	32.5b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
	32.6b	(+.f64 (.f64 (.f64 -1/2 eps) eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	43.6b	(+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) 1))
	43.1b	(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) x)) -1))
	41.3b	(+.f64 -1 (cos.f64 (+.f64 x eps)))
	50.7b	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (neg.f64 eps))
	38.9b	(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (neg.f64 eps))
	41.4b	(*.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) (neg.f64 eps))
	34.0b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
	36.6b	(.f64 (sin.f64 (/.f64 (-.f64 eps x) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 x eps) 2))))
✓	38.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	38.9b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (neg.f64 eps))
	41.4b	(*.f64 (log.f64 (exp.f64 (sin.f64 x))) (neg.f64 eps))
	41.1b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	38.9b	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (neg.f64 eps))
	39.3b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (neg.f64 eps))
	53.3b	(*.f64 x (neg.f64 eps))
✓	49.6b	(.f64 -1/2 (.f64 eps eps))
	34.9b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) 3))
	34.4b	(.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))
	49.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
	37.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (sin.f64 x)))
	17.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
	54.6b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.6b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.4b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	40.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.7b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
	40.9b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
	40.9b	(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
✓	40.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.6b	(log.f64 1)
	49.6b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	40.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1142 to 845 computations (26% saved)

regimes226.0ms (1.5%)

Counts

149 → 1

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	x
66.0ms	eps
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 2284 to 937 computations (59% saved)

regimes381.0ms (2.4%)

Counts

121 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

146.0ms	eps
142.0ms	x
59.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
7.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1490 to 662 computations (55.6% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	6.391949633264259e-6	7.471893643148741
31.0ms	-5.433912107886411	-0.0004327664759176256

Results

24.0ms	65×	body	1024	valid
20.0ms	147×	body	256	valid
13.0ms	52×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 694 to 486 computations (30% saved)

regimes344.0ms (2.2%)

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

132.0ms	eps
127.0ms	x
54.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.4b	3	`eps`
7.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1367 to 612 computations (55.2% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	6.391949633264259e-6	7.471893643148741
32.0ms	-5.433912107886411	-0.0004327664759176256

Results

29.0ms	78×	body	1024	valid
20.0ms	148×	body	256	valid
9.0ms	38×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 677 to 503 computations (25.7% saved)

regimes288.0ms (1.9%)

Counts

95 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

110.0ms	x
109.0ms	eps
45.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
7.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1063 to 500 computations (53% saved)

bsearch70.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	6.391949633264259e-6	7.471893643148741
32.0ms	-5.433912107886411	-0.0004327664759176256

Results

30.0ms	81×	body	1024	valid
22.0ms	146×	body	256	valid
10.0ms	40×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 677 to 503 computations (25.7% saved)

regimes279.0ms (1.8%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

105.0ms	eps
104.0ms	x
45.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
7.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 993 to 465 computations (53.2% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	6.391949633264259e-6	7.471893643148741
32.0ms	-0.0004327664759176256	-9.206711243798517e-9

Results

29.0ms	77×	body	1024	valid
19.0ms	142×	body	256	valid
12.0ms	47×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 575 to 418 computations (27.3% saved)

regimes282.0ms (1.8%)

Counts

86 → 1

Calls

Call 1

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

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

Calls

3 calls:

118.0ms	eps
63.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
38.0ms	x

Results

Error	Segments	Branch
17.2b	1	`x`
17.2b	1	`eps`
17.2b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 891 to 420 computations (52.9% saved)

regimes97.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
34.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.9b	3	`x`
17.2b	3	`eps`
18.2b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 207 to 102 computations (50.7% saved)

bsearch69.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	6.391949633264259e-6	7.471893643148741
31.0ms	-5.433912107886411	-0.0004327664759176256

Results

23.0ms	63×	body	1024	valid
23.0ms	163×	body	256	valid
15.0ms	40×	body	512	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 449 to 335 computations (25.4% saved)

regimes88.0ms (0.6%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
29.0ms	eps
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.9b	3	`x`
17.4b	3	`eps`
18.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 181 to 89 computations (50.8% saved)

bsearch95.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	6.391949633264259e-6	7.471893643148741
33.0ms	-5.433912107886411	-0.0004327664759176256

Results

52.0ms	75×	body	1024	valid
22.0ms	145×	body	256	valid
10.0ms	41×	body	512	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 432 to 335 computations (22.5% saved)

regimes166.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
40.0ms	x
29.0ms	eps

Results

Error	Segments	Branch
21.2b	3	`x`
17.4b	3	`eps`
18.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 156 to 75 computations (51.9% saved)

bsearch144.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	6.391949633264259e-6	7.471893643148741
86.0ms	-5.433912107886411	-0.0004327664759176256

Results

76.0ms	148×	body	256	valid
28.0ms	76×	body	1024	valid
27.0ms	10×	body	2048	valid
9.0ms	38×	body	512	valid

Compiler

Compiled 398 to 301 computations (24.4% saved)

regimes147.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	x
48.0ms	eps
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.5b	5	`x`
17.4b	3	`eps`
18.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 118 to 53 computations (55.1% saved)

bsearch138.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	6.391949633264259e-6	7.471893643148741
54.0ms	-5.433912107886411	-0.0004327664759176256

Results

63.0ms	154×	body	256	valid
33.0ms	41×	body	512	valid
33.0ms	69×	body	1024	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 362 to 265 computations (26.8% saved)

regimes48.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
18.0ms	eps

Results

Error	Segments	Branch
26.5b	5	`x`
17.5b	3	`eps`

Compiler

Compiled 63 to 36 computations (42.9% saved)

bsearch111.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	6.391949633264259e-6	7.471893643148741
73.0ms	-5.433912107886411	-0.0004327664759176256

Results

66.0ms	156×	body	256	valid
26.0ms	68×	body	1024	valid
12.0ms	43×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 354 to 265 computations (25.1% saved)

regimes39.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
17.0ms	eps

Results

Error	Segments	Branch
27.6b	3	`x`
24.4b	3	`eps`

Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch93.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	6.391949633264259e-6	7.471893643148741
38.0ms	-246182708832.2801	-5.433912107886411

Results

48.0ms	187×	body	256	valid
27.0ms	72×	body	1024	valid
9.0ms	38×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

regimes26.0ms (0.2%)

Counts

5 → 5

Calls

Call 1

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

Calls

2 calls:

20.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
40.8b	1	`x`
33.0b	5	`eps`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch234.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	6.391949633264259e-6	7.471893643148741
108.0ms	1.1294449125064214e-167	2.095780037174806e-157
53.0ms	-2.945556693328747e-120	-9.620336229904994e-122
33.0ms	-5.433912107886411	-0.0004327664759176256

Results

92.0ms	111×	body	2048	valid
91.0ms	229×	body	1024	valid
27.0ms	155×	body	256	valid
16.0ms	49×	body	512	valid

Compiler

Compiled 524 to 401 computations (23.5% saved)

regimes26.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
48.0b	3	`x`
48.1b	3	`eps`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch110.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	2.85004102842566e+49	2.6660156031610057e+52
56.0ms	1.6667112404684024e-108	5.395454831996922e-101

Results

62.0ms	153×	body	1024	valid
23.0ms	38×	body	2048	valid
15.0ms	50×	body	512	valid
6.0ms	31×	body	256	valid

Compiler

Compiled 261 to 197 computations (24.5% saved)

regimes23.0ms (0.1%)

Accuracy

Total -8.7b remaining (-18.1%)

Threshold costs -8.7b (-18.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
48.4b	3	`x`
48.1b	3	`eps`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch159.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	1.1294449125064214e-167	2.095780037174806e-157
54.0ms	-2.945556693328747e-120	-9.620336229904994e-122

Results

93.0ms	119×	body	2048	valid
57.0ms	142×	body	1024	valid
5.0ms	11×	body	512	valid

Compiler

Compiled 269 to 197 computations (26.8% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative`
56×	`+-commutative`
28×	`sub-neg`
26×	`cancel-sign-sub-inv`
24×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1300
1	236	1296
2	283	1296
3	304	1296
4	314	1296
5	316	1296

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5534023222112865/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps 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 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4842270319348757/4611686018427387904) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(if (<=.f64 eps -7378697629483821/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -1224979098644775/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3412647653636267/18446744073709551616) (-.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4150517416584649/2305843009213693952) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -5534023222112865/4611686018427387904) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1152921504606847/144115188075855872) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -11/2) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2508757194024499/147573952589676412928) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -8116567392432203/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1539859293139431/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 5534023222112865/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 x 3954070125820579/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 x 900000000000000027129553701548362001410714104758272) (*.f64 x (neg.f64 eps)) (-.f64 1 (cos.f64 x))))
(if (<=.f64 eps -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (.f64 x (neg.f64 eps)) (.f64 -1/2 (*.f64 eps eps))))
(*.f64 x (neg.f64 eps))

Outputs
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 3170534137668829/576460752303423488) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 3170534137668829/576460752303423488))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 3170534137668829/576460752303423488))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -5188146770730811/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5072854620270127/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(if (or (<=.f64 eps -5188146770730811/1152921504606846976) (not (<=.f64 eps 5072854620270127/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -5188146770730811/1152921504606846976) (not (<=.f64 eps 5072854620270127/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 5534023222112865/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps 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)))))
(if (or (<=.f64 eps -2582544170319337/18446744073709551616) (not (<=.f64 eps 5534023222112865/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (*.f64 eps 1/2))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4842270319348757/4611686018427387904) (-.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4842270319348757/4611686018427387904) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(if (<=.f64 eps -7378697629483821/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 eps) eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -7378697629483821/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/36893488147419103232) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -7378697629483821/1152921504606846976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7378697629483821/36893488147419103232) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -1224979098644775/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3412647653636267/18446744073709551616) (-.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -1224979098644775/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3412647653636267/18446744073709551616) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 eps (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4150517416584649/2305843009213693952) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4150517416584649/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 eps (sin.f64 x))) (+.f64 -1 (cos.f64 eps))))
(if (<=.f64 eps -5534023222112865/4611686018427387904) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1152921504606847/144115188075855872) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -5534023222112865/4611686018427387904) (not (<=.f64 eps 1152921504606847/144115188075855872))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 eps (sin.f64 x))))
(if (<=.f64 eps -11/2) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2508757194024499/147573952589676412928) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -11/2) (not (<=.f64 eps 2508757194024499/147573952589676412928))) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -11/2) (not (<=.f64 eps 2508757194024499/147573952589676412928))) (+.f64 -1 (cos.f64 eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -8116567392432203/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 1539859293139431/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 5534023222112865/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -8116567392432203/18446744073709551616) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 1539859293139431/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (neg.f64 (.f64 x eps)) (if (<=.f64 eps 5534023222112865/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 -1 (cos.f64 eps))))))
(if (<=.f64 eps -8116567392432203/18446744073709551616) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 1539859293139431/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 (neg.f64 x) eps) (if (<=.f64 eps 5534023222112865/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 -1 (cos.f64 eps))))))
(if (<=.f64 eps -8116567392432203/18446744073709551616) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps -8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 1539859293139431/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5534023222112865/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 -1 (cos.f64 eps))))))
(if (<=.f64 x 3954070125820579/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 x 900000000000000027129553701548362001410714104758272) (*.f64 x (neg.f64 eps)) (-.f64 1 (cos.f64 x))))
(if (<=.f64 x 3954070125820579/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 x 900000000000000027129553701548362001410714104758272) (neg.f64 (*.f64 x eps)) (-.f64 1 (cos.f64 x))))
(if (<=.f64 x 3954070125820579/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 x 900000000000000027129553701548362001410714104758272) (*.f64 (neg.f64 x) eps) (-.f64 1 (cos.f64 x))))
(if (<=.f64 x 3954070125820579/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 x 900000000000000027129553701548362001410714104758272) (*.f64 eps (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(if (<=.f64 eps -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (.f64 x (neg.f64 eps)) (.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (not (<=.f64 eps 8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352))) (.f64 (.f64 eps eps) -1/2) (neg.f64 (*.f64 x eps)))
(if (or (<=.f64 eps -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (not (<=.f64 eps 8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352))) (.f64 (.f64 eps eps) -1/2) (*.f64 (neg.f64 x) eps))
(if (or (<=.f64 eps -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (not (<=.f64 eps 8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352))) (.f64 (.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))
(*.f64 x (neg.f64 eps))
(neg.f64 (*.f64 x eps))
(*.f64 (neg.f64 x) eps)
(*.f64 eps (neg.f64 x))

Compiler

Compiled 486 to 325 computations (33.1% saved)

soundness290.0ms (1.9%)

Algorithm

3×	egg-herbie

Rules

1352×	`associate-+l-`
1342×	`+-commutative`
1316×	`associate-/r/`
1290×	`associate-+r-`
1152×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	10932
1	1283	10512
2	5920	10512
0	438	10256
1	1222	9398
2	6012	9398
0	418	6324
1	1114	5792
2	4873	5694

Stop Event

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

Compiler

Compiled 528 to 245 computations (53.6% saved)

end236.0ms (1.5%)

Compiler: Compiled 456 to 230 computations (49.6% 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