Details

analyze1.0ms (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)

sample6.9s (27.9%)

Results

2.9s	2096×	body	2048	valid
2.8s	3946×	body	1024	valid
791.0ms	1377×	body	512	valid
283.0ms	835×	body	256	valid
4.0ms	2×	body	4096	valid

Bogosity

preprocess28.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify41.0ms (0.2%)

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))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.5b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite163.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
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Outputs

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simplify223.0ms (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))

eval182.0ms (0.7%)

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

prune143.0ms (0.6%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	252	34	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	35	287

Error

0.2b

Counts

287 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(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)
	41.6b	(/.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))))))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.0b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	30.7b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	41.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	25.2b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
▶	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	54.9b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (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))
	39.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	25.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	41.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.1b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	41.6b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.4b	(-.f64 (cos.f64 x) (cos.f64 x))
	41.1b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	40.9b	(-.f64 (cos.f64 eps) 1)
	41.7b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
▶	8.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	25.1b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	31.0b	(+.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))))))
	42.5b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	41.6b	(*.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)))
	33.6b	(.f64 (.f64 -2 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2))) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)))
	38.3b	(*.f64 (neg.f64 eps) (sin.f64 x))
	41.8b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	16.4b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	41.6b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.5b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	55.2b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	55.7b	(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))

Compiler

Compiled 1163 to 740 computations (36.4% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.5b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series16.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	0	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite181.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify191.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-r`
1242×	`associate-l`
1010×	`+-commutative`
832×	`associate-/r*`
796×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 647

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.5b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.2%)

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%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	2.8b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 28 to 7 computations (75% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-+l-`
1152×	`associate-+r-`
830×	`fma-def`
736×	`associate--r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	453	10894
1	1282	10148
2	5937	10148

Stop Event

1×	node limit

Counts

192 → 293

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
✓	0.3b	(log1p.f64 (cos.f64 (+.f64 x eps)))
	2.8b	(cos.f64 (+.f64 x eps))
✓	20.2b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series96.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	eps	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
25.0ms	x	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
19.0ms	x	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
18.0ms	eps	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
1.0ms	eps	@	0	(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
882×	`associate-*r/`
708×	`distribute-lft-in`
692×	`distribute-rgt-in`
692×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	240	47
2	3110	47

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

simplify197.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1048×	`fma-def`
756×	`associate-r`
666×	`associate-+l+`
622×	`associate-l`
610×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	12773
1	1634	12195

Stop Event

1×	node limit

Counts

263 → 350

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	3.3b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series6.0ms (0%)

Counts

3 → 44

Calls

18 calls:

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

rewrite248.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 382

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) 1) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (+.f64 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simplify444.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	26480
1	2475	24384

Stop Event

1×	node limit

Counts

426 → 577

Calls

Call 1

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

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

eval1.4s (5.7%)

Compiler: Compiled 54097 to 16161 computations (70.1% saved)

prune1.7s (6.9%)

Pruning

59 alts after pruning (56 fresh and 3 done)

	Pruned	Kept	Total
New	2015	48	2063
Fresh	21	8	29
Picked	0	1	1
Done	3	2	5
Total	2039	59	2098

Error

0.1b

Counts

2098 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	25.0b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	47.9b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
▶	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.6b	(/.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))))))
	25.1b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))))))
	41.0b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	33.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.0b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	41.7b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
	25.3b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
✓	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.4b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) x)) (cos.f64 x))
	25.2b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	52.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	40.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	25.3b	(-.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))) (cos.f64 x))
	30.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	57.5b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	25.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	25.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	41.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	55.3b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.1b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.9b	(-.f64 (cos.f64 eps) 1)
	8.5b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.4b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.4b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	21.6b	(+.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))))
	8.6b	(+.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)))))
	8.5b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	39.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 x (neg.f64 (sin.f64 eps))))
	36.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.6b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.4b	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.6b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	8.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	16.4b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	38.3b	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	47.5b	(.f64 -1/2 (.f64 eps eps))
	57.8b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.6b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	41.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	54.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.3b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
▶	47.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	61.7b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))

Compiler

Compiled 1781 to 1179 computations (33.8% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.5b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite161.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1))))) 1))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -1))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
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(*.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%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (log.f64 (cos.f64 eps)))
✓	2.5b	(log.f64 (cos.f64 eps))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series27.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	eps	@	-inf	(log.f64 (cos.f64 eps))
11.0ms	eps	@	inf	(log.f64 (cos.f64 eps))
1.0ms	eps	@	0	(log.f64 (cos.f64 eps))
0.0ms	eps	@	0	(expm1.f64 (log.f64 (cos.f64 eps)))
0.0ms	eps	@	inf	(expm1.f64 (log.f64 (cos.f64 eps)))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

56 → 66

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	0.6b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
✓	0.7b	(cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	2.8b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series51.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
4.0ms	eps	@	0	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
2.0ms	eps	@	0	(cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
2.0ms	x	@	inf	(cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

rewrite133.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs

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

simplify221.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1406×	`associate-r`
1016×	`associate-l`
838×	`*-commutative`
802×	`fma-def`
488×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	23533
1	2037	22861

Stop Event

1×	node limit

Counts

309 → 276

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.1b	(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	3.2b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

21 calls:

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

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	272	62
2	3575	62

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify263.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1250×	`+-commutative`
1018×	`associate-r`
864×	`fma-def`
830×	`associate-l`
486×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	14881
1	1509	14449
2	7772	14449

Stop Event

1×	node limit

Counts

257 → 351

Calls

Call 1

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

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

eval652.0ms (2.6%)

Compiler: Compiled 42260 to 18059 computations (57.3% saved)

prune404.0ms (1.6%)

Pruning

68 alts after pruning (62 fresh and 6 done)

	Pruned	Kept	Total
New	1238	31	1269
Fresh	20	31	51
Picked	0	1	1
Done	2	5	7
Total	1260	68	1328

Error

0.0b

Counts

1328 → 68

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.9b	(fma.f64 (pow.f64 eps 4) 1/24 (.f64 -1/2 (.f64 eps eps)))
	25.0b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 eps))) 3)
	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 3)
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	47.7b	(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) 3)
	25.2b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
	61.7b	(/.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 (+.f64 x x) eps) (-.f64 0 eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 (+.f64 x x) eps) (-.f64 0 eps))))) 1)
	33.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	25.0b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	41.7b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
▶	25.3b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
✓	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	25.2b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	52.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	40.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	55.4b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	8.4b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	30.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	25.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	25.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	25.3b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)))
	41.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	41.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	55.3b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	41.1b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.9b	(-.f64 (cos.f64 eps) 1)
▶	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.5b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.5b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	23.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 x (neg.f64 (sin.f64 eps))))
	30.4b	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.6b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	9.4b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (-.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps)) (sin.f64 x)))
	21.6b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	8.6b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	8.5b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	25.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	39.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	0.6b	(+.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.6b	(+.f64 (.f64 (cos.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.6b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.7b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.6b	(+.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 eps x) (neg.f64 eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))))
	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	16.4b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	38.3b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	47.5b	(.f64 eps (.f64 -1/2 eps))
	61.4b	(.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (/.f64 eps 2))))
	61.8b	(*.f64 2 (cos.f64 x))
✓	47.5b	(.f64 -1/2 (.f64 eps eps))
	57.8b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	41.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	54.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.3b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	43.5b	(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
✓	47.7b	(expm1.f64 (log.f64 (cos.f64 eps)))
	53.3b	(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3))

Compiler

Compiled 1899 to 1360 computations (28.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 30 computations (56.5% saved)

series7.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-/r/`
848×	`associate-/l/`
560×	`distribute-rgt-in`
522×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	304	43
2	4087	43

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-r`
974×	`times-frac`
856×	`associate-l`
842×	`associate-/l*`
708×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	8074
1	1626	7460

Stop Event

1×	node limit

Counts

216 → 274

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

localize5.0ms (0%)

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 eps eps))
✓	12.6b	(fma.f64 (pow.f64 eps 4) 1/24 (.f64 -1/2 (.f64 eps eps)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1740×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	228	27
2	2489	27

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1076×	`distribute-lft-in`
986×	`distribute-rgt-in`
728×	`times-frac`
692×	`*-commutative`
600×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1055
1	176	997
2	790	997
3	2628	989

Stop Event

1×	node limit

Counts

35 → 37

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 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.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 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.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 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) 1/24))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/24) 1) (.f64 eps (.f64 eps -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))))) 1)
(.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2))) 1)
(.f64 1 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 4) 1/24)) (.f64 (pow.f64 eps 4) 1/4)) (-.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 4) 1/24) 3) (pow.f64 (.f64 eps (.f64 eps -1/2)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 4) 1/24)) (-.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))))))
(pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))

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 -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 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(*.f64 1/24 (pow.f64 eps 4))
(+.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 -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 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(*.f64 1/24 (pow.f64 eps 4))
(+.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 -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 -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 eps (.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) 1/24))
(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 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2)))
(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 (.f64 (pow.f64 eps 4) 1/24) 1) (.f64 eps (.f64 eps -1/2)))
(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 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))))) 1)
(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 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2))) 1)
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(.f64 1 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2))))
(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 (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))))
(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 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))) 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 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))))
(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 (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 4) 1/24)) (.f64 (pow.f64 eps 4) 1/4)) (-.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 eps 4)) 1/576) (.f64 (pow.f64 eps 4) 1/4)) (fma.f64 (pow.f64 eps 4) 1/24 (neg.f64 (.f64 -1/2 (*.f64 eps eps)))))
(/.f64 (fma.f64 (pow.f64 eps 8) 1/576 (.f64 (pow.f64 eps 4) -1/4)) (fma.f64 1/24 (pow.f64 eps 4) (.f64 (*.f64 eps eps) 1/2)))
(/.f64 (pow.f64 eps 4) (/.f64 (fma.f64 eps (.f64 eps 1/2) (.f64 1/24 (pow.f64 eps 4))) (fma.f64 1/576 (pow.f64 eps 4) -1/4)))
(.f64 (/.f64 (pow.f64 eps 4) (.f64 eps eps)) (/.f64 (fma.f64 (pow.f64 eps 4) 1/576 -1/4) (fma.f64 (*.f64 eps eps) 1/24 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 4) 1/24) 3) (pow.f64 (.f64 eps (.f64 eps -1/2)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 (pow.f64 eps 4) 1/24)) (-.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 eps 4) 3) 1/13824) (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3)) (+.f64 (.f64 (.f64 (pow.f64 eps 4) (pow.f64 eps 4)) 1/576) (-.f64 (.f64 (pow.f64 eps 4) 1/4) (.f64 (pow.f64 eps 4) (.f64 1/24 (.f64 -1/2 (.f64 eps eps)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 eps 4) 3) 1/13824 (.f64 -1/8 (pow.f64 (.f64 eps eps) 3))) (fma.f64 (pow.f64 eps 8) 1/576 (.f64 (pow.f64 eps 4) (-.f64 1/4 (.f64 -1/48 (*.f64 eps eps))))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) 6) 1/13824 (.f64 (pow.f64 (.f64 eps eps) 3) -1/8)) (fma.f64 (pow.f64 eps 4) (-.f64 1/4 (.f64 (.f64 eps eps) -1/48)) (.f64 (pow.f64 eps 8) 1/576)))
(/.f64 (.f64 (pow.f64 eps 6) (+.f64 (.f64 1/13824 (pow.f64 eps 6)) -1/8)) (fma.f64 (pow.f64 eps 4) (+.f64 1/4 (.f64 (.f64 eps eps) 1/48)) (*.f64 (pow.f64 eps 8) 1/576)))
(pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 1)
(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)))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 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)))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))) 3)
(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)))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 3) 1/3)
(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)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 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)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))))))
(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)))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2))) 3))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(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)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (*.f64 eps -1/2)))) 1))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 eps 4) 1/24 (.f64 eps (.f64 eps -1/2)))))
(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)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 eps)
✓	0.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
	2.5b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 35 to 13 computations (62.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`associate-*r/`
970×	`associate-*l/`
750×	`distribute-lft-in`
354×	`associate-/r*`
292×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	274	27
2	3714	27

Stop Event

1×	node limit

Counts

1 → 164

Calls

Call 1

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

Outputs

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

simplify205.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac`
866×	`associate-r`
782×	`associate-l`
706×	`associate-/l*`
556×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	434	16570
1	1424	13620

Stop Event

1×	node limit

Counts

188 → 269

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps eps) (neg.f64 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) 1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (.f64 x (sin.f64 eps)))) 1))
(+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 (cos.f64 eps)))
(-.f64 (+.f64 (.f64 -1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))) 1)
(+.f64 (fma.f64 -1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (+.f64 (cos.f64 eps) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (neg.f64 (*.f64 x (sin.f64 eps)))))) -1)
(+.f64 -1 (+.f64 (.f64 (sin.f64 eps) (+.f64 (neg.f64 x) (.f64 1/6 (pow.f64 x 3)))) (fma.f64 -1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (cos.f64 eps))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))))
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (-.f64 1 (.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 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
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(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (sin.f64 eps) (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (sin.f64 x) (sin.f64 eps) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) (neg.f64 (+.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) (neg.f64 (+.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(+.f64 (fma.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) -1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
(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 eps) -1))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) -1))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	0.4b	(+.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)))
✓	0.5b	(-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1))
✓	8.1b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))

Compiler

Compiled 71 to 25 computations (64.8% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

18 calls:

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

rewrite142.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-+l+`
574×	`+-commutative`
466×	`associate-+r+`
406×	`add-sqr-sqrt`
398×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	383	73
2	5478	49

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify218.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1176×	`+-commutative`
760×	`associate-*r/`
618×	`associate-+l-`
602×	`distribute-lft-in`
586×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	759	19627
1	2202	18585
2	7748	18561

Stop Event

1×	node limit

Counts

373 → 488

Calls

Call 1

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

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

eval518.0ms (2.1%)

Compiler: Compiled 36322 to 15875 computations (56.3% saved)

prune401.0ms (1.6%)

Pruning

78 alts after pruning (70 fresh and 8 done)

	Pruned	Kept	Total
New	1328	24	1352
Fresh	11	46	57
Picked	0	1	1
Done	3	7	10
Total	1342	78	1420

Error

0.0b

Counts

1420 → 78

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 1)) (neg.f64 (+.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))))
	25.0b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	61.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 eps))) 3)
	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 3)
	41.1b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	25.2b	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
	61.7b	(/.f64 (+.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 (+.f64 x x) eps) (-.f64 0 eps)))) (cos.f64 (.f64 1/2 (-.f64 (+.f64 (+.f64 x x) eps) (-.f64 0 eps))))) 1)
	33.0b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	33.0b	(/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
	41.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.7b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
✓	25.3b	(-.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) -1)) (cos.f64 x))
✓	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	25.2b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (log.f64 (exp.f64 (cos.f64 x)))) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	34.8b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
	8.5b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	52.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	40.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	25.3b	(-.f64 (+.f64 (+.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 1 (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	39.7b	(-.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 eps)) 1)
	39.7b	(-.f64 (+.f64 (cos.f64 eps) 1) (+.f64 1 (+.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x)))))
	23.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
	39.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	25.3b	(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (-.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))) (cos.f64 x))
	55.4b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	8.4b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	30.4b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	25.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	25.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	25.3b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)))
	41.0b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	41.5b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	55.3b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.2b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.6b	(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) 1))
	39.6b	(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))))
	41.1b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	40.9b	(-.f64 (cos.f64 eps) 1)
	0.6b	(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	8.6b	(+.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.5b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	36.2b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (*.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	23.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) 2)))))
	23.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	40.9b	(+.f64 (-.f64 (cos.f64 eps) 1) (/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) 2))
	44.7b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (neg.f64 (sin.f64 x))))
	23.4b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (neg.f64 (sin.f64 x))))
	30.3b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 eps (neg.f64 (sin.f64 x))))
	39.0b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 x (neg.f64 (sin.f64 eps))))
	0.6b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	47.9b	(+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2)))
	30.4b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.6b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.5b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	39.0b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	25.2b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 1 (-.f64 (-.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
	8.6b	(+.f64 (.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	8.7b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.7b	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	61.6b	(+.f64 (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (+.f64 eps x) (neg.f64 eps))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) (+.f64 eps x)))))
	41.6b	(+.f64 1 (-.f64 (*.f64 (+.f64 -1 (cos.f64 (+.f64 x eps))) 1) (cos.f64 x)))
	42.5b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	16.4b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	38.3b	(*.f64 (sin.f64 x) (neg.f64 eps))
✓	47.5b	(.f64 eps (.f64 -1/2 eps))
	61.4b	(.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (/.f64 eps 2))))
	61.8b	(*.f64 2 (cos.f64 x))
	56.3b	(*.f64 1/24 (pow.f64 eps 4))
✓	47.5b	(.f64 -1/2 (.f64 eps eps))
	57.8b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	41.0b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	41.0b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	55.0b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	54.6b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	46.3b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	43.5b	(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
✓	47.7b	(expm1.f64 (log.f64 (cos.f64 eps)))

Compiler

Compiled 1149 to 825 computations (28.2% saved)

regimes615.0ms (2.5%)

Counts

138 → 1

Calls

Call 1

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

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

Calls

3 calls:

173.0ms	x
158.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
158.0ms	eps

Results

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

Compiler

Compiled 1985 to 772 computations (61.1% saved)

regimes791.0ms (3.2%)

Counts

115 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

346.0ms	eps
282.0ms	x
105.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
8.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1404 to 562 computations (60% saved)

bsearch146.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	1.1023681558405639e-7	405869823658456.3
67.0ms	-23344.29117048565	-6.6612348817888906e-6

Results

56.0ms	81×	body	1024	valid
44.0ms	178×	body	256	valid
23.0ms	50×	body	512	valid
13.0ms	11×	body	2048	valid

Compiler

Compiled 748 to 546 computations (27% saved)

regimes590.0ms (2.4%)

Counts

113 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

235.0ms	eps
181.0ms	x
122.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
8.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1366 to 545 computations (60.1% saved)

bsearch94.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.1023681558405639e-7	405869823658456.3
47.0ms	-23344.29117048565	-6.6612348817888906e-6

Results

40.0ms	194×	body	256	valid
33.0ms	85×	body	1024	valid
8.0ms	32×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 694 to 492 computations (29.1% saved)

regimes467.0ms (1.9%)

Counts

104 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

202.0ms	eps
182.0ms	x
54.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`eps`
8.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1225 to 498 computations (59.3% saved)

bsearch137.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
89.0ms	1.1023681558405639e-7	405869823658456.3
47.0ms	-23344.29117048565	-6.6612348817888906e-6

Results

54.0ms	93×	body	1024	valid
38.0ms	178×	body	256	valid
15.0ms	38×	body	512	valid
11.0ms	11×	body	2048	valid

Compiler

Compiled 694 to 510 computations (26.5% saved)

regimes217.0ms (0.9%)

Counts

80 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

140.0ms	eps
35.0ms	x
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.4b	1	`x`
14.9b	3	`eps`
16.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 824 to 361 computations (56.2% saved)

bsearch86.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	405869823658456.3	221746987999005220.0
39.0ms	-23344.29117048565	-6.6612348817888906e-6

Results

43.0ms	80×	body	1024	valid
22.0ms	152×	body	256	valid
9.0ms	33×	body	512	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 550 to 401 computations (27.1% saved)

regimes107.0ms (0.4%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	x
31.0ms	eps
25.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.4b	1	`x`
16.4b	1	`eps`
16.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 750 to 344 computations (54.1% saved)

regimes536.0ms (2.2%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

3 calls:

232.0ms	x
180.0ms	eps
116.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.1b	7	`x`
15.9b	3	`eps`
17.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 271 to 138 computations (49.1% saved)

bsearch112.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	1.1023681558405639e-7	405869823658456.3
41.0ms	-109658.13461024675	-23344.29117048565

Results

44.0ms	67×	body	1024	valid
39.0ms	167×	body	256	valid
17.0ms	33×	body	512	valid
6.0ms	5×	body	2048	valid

Compiler

Compiled 434 to 311 computations (28.3% saved)

regimes364.0ms (1.5%)

Counts

30 → 4

Calls

Call 1

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

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

Calls

3 calls:

220.0ms	x
98.0ms	eps
34.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.2b	7	`x`
21.7b	4	`eps`
24.8b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 243 to 122 computations (49.8% saved)

bsearch314.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
91.0ms	1.1023681558405639e-7	405869823658456.3
133.0ms	9.955318832339583e-113	1.0399186861116999e-106
89.0ms	-29373312790.622803	-109658.13461024675

Results

166.0ms	199×	body	1024	valid
67.0ms	188×	body	256	valid
44.0ms	37×	body	2048	valid
25.0ms	40×	body	512	valid

Compiler

Compiled 706 to 548 computations (22.4% saved)

regimes344.0ms (1.4%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

3 calls:

157.0ms	x
117.0ms	eps
60.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
22.2b	7	`x`
21.8b	4	`eps`
24.8b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 178 to 89 computations (50% saved)

bsearch270.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
86.0ms	1.1023681558405639e-7	405869823658456.3
127.0ms	9.955318832339583e-113	1.0399186861116999e-106
57.0ms	-6.6612348817888906e-6	-9.810662710873672e-8

Results

160.0ms	198×	body	1024	valid
41.0ms	153×	body	256	valid
36.0ms	31×	body	2048	valid
22.0ms	50×	body	512	valid

Compiler

Compiled 580 to 448 computations (22.8% saved)

regimes189.0ms (0.8%)

Counts

17 → 4

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

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

Calls

3 calls:

92.0ms	x
68.0ms	eps
23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.3b	6	`x`
21.8b	4	`eps`
24.8b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 119 to 62 computations (47.9% saved)

bsearch249.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
81.0ms	1.1023681558405639e-7	405869823658456.3
115.0ms	9.955318832339583e-113	1.0399186861116999e-106
53.0ms	-6.6612348817888906e-6	-9.810662710873672e-8

Results

135.0ms	191×	body	1024	valid
48.0ms	163×	body	256	valid
33.0ms	30×	body	2048	valid
21.0ms	48×	body	512	valid

Compiler

Compiled 566 to 434 computations (23.3% saved)

regimes166.0ms (0.7%)

Counts

11 → 4

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))

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

Calls

2 calls:

114.0ms	x
47.0ms	eps

Results

Error	Segments	Branch
25.3b	6	`x`
22.0b	4	`eps`

Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch229.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
49.0ms	405869823658456.3	221746987999005220.0
128.0ms	9.955318832339583e-113	1.0399186861116999e-106
52.0ms	-6.6612348817888906e-6	-9.810662710873672e-8

Results

127.0ms	169×	body	1024	valid
38.0ms	32×	body	2048	valid
36.0ms	144×	body	256	valid
17.0ms	39×	body	512	valid

Compiler

Compiled 485 to 383 computations (21% saved)

regimes150.0ms (0.6%)

Counts

9 → 4

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 1/24 (pow.f64 eps 4))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (.f64 -1/2 (.f64 eps eps)))

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

Calls

2 calls:

105.0ms	x
41.0ms	eps

Results

Error	Segments	Branch
25.3b	6	`x`
22.0b	4	`eps`

Compiler

Compiled 56 to 35 computations (37.5% saved)

bsearch258.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
73.0ms	1.1023681558405639e-7	405869823658456.3
115.0ms	9.955318832339583e-113	1.0399186861116999e-106
71.0ms	-6.6612348817888906e-6	-9.810662710873672e-8

Results

126.0ms	188×	body	1024	valid
63.0ms	35×	body	2048	valid
38.0ms	164×	body	256	valid
20.0ms	45×	body	512	valid

Compiler

Compiled 428 to 334 computations (22% saved)

regimes59.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	eps
25.0ms	x

Results

Error	Segments	Branch
38.8b	3	`x`
33.1b	3	`eps`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch175.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
115.0ms	1.1023681558405639e-7	405869823658456.3
59.0ms	-23344.29117048565	-6.6612348817888906e-6

Results

93.0ms	193×	body	256	valid
48.0ms	76×	body	1024	valid
19.0ms	44×	body	512	valid
8.0ms	7×	body	2048	valid

Compiler

Compiled 314 to 250 computations (20.4% saved)

regimes17.0ms (0.1%)

Accuracy

Total -15.3b remaining (-32.2%)

Threshold costs -15.3b (-32.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
47.5b	1	`x`
47.5b	1	`eps`

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

62×	`+-commutative`
56×	`*-commutative`
36×	`sub-neg`
22×	`neg-mul-1`
22×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1353
1	209	1325
2	248	1325
3	267	1325
4	275	1325

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -48999163945791/288230376151711744) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3458764513820541/144115188075855872) (-.f64 (-.f64 (cos.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -23500) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 6456360425798343/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -67000000) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 8097935617680545/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 8416326983629983/2305843009213693952) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4297353499411377/2361183241434822606848) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 7932671625482983/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5476377146882523/576460752303423488) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8618318831237103/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4496393867966703/1152921504606846976) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7366891713276647/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -944473296573929/1180591620717411303424) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7023719668396391/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5718490662849961/36893488147419103232) (.f64 eps (.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))

Outputs
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (+.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.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 -48999163945791/288230376151711744) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -48999163945791/288230376151711744) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -48999163945791/288230376151711744) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.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 -2582544170319337/18446744073709551616) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -2582544170319337/18446744073709551616) (not (<=.f64 eps 5718490662849961/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))))
(if (or (<=.f64 eps -2582544170319337/18446744073709551616) (not (<=.f64 eps 5718490662849961/36893488147419103232))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3458764513820541/144115188075855872) (-.f64 (-.f64 (cos.f64 eps) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3458764513820541/144115188075855872) (-.f64 (-.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (-.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -3458764513820541/144115188075855872) (-.f64 (-.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 410000000000000) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (+.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -23500) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 6456360425798343/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -23500) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) -1) (if (<=.f64 eps 6456360425798343/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -23500) (+.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))) (if (<=.f64 eps 6456360425798343/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -67000000) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 8097935617680545/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 (-.f64 (cos.f64 eps) 1) (.f64 eps (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 8416326983629983/2305843009213693952) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -67000000) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) -1) (if (<=.f64 eps 8097935617680545/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 (+.f64 -1 (cos.f64 eps)) (.f64 eps (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 8416326983629983/2305843009213693952) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -67000000) (+.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))) (if (<=.f64 eps 8097935617680545/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (-.f64 (+.f64 -1 (cos.f64 eps)) (.f64 eps (sin.f64 x))) (if (<=.f64 eps 8416326983629983/2305843009213693952) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4297353499411377/2361183241434822606848) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 1) (if (<=.f64 eps 7932671625482983/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5476377146882523/576460752303423488) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4297353499411377/2361183241434822606848) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) -1) (if (<=.f64 eps 7932671625482983/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5476377146882523/576460752303423488) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -4297353499411377/2361183241434822606848) (+.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))) (if (<=.f64 eps 7932671625482983/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5476377146882523/576460752303423488) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (*.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8618318831237103/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4496393867966703/1152921504606846976) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8618318831237103/2361183241434822606848) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 4496393867966703/1152921504606846976) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7366891713276647/9444732965739290427392) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7366891713276647/9444732965739290427392) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 4214231801037835/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 410000000000000) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 eps (.f64 eps -1/2))) (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 eps -944473296573929/1180591620717411303424) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7023719668396391/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -944473296573929/1180591620717411303424) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 7023719668396391/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5718490662849961/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 eps -2582544170319337/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5718490662849961/36893488147419103232) (.f64 eps (.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -2582544170319337/18446744073709551616) (not (<=.f64 eps 5718490662849961/36893488147419103232))) (+.f64 -1 (cos.f64 eps)) (.f64 eps (.f64 eps -1/2)))
(.f64 eps (.f64 -1/2 eps))
(.f64 eps (.f64 eps -1/2))
(.f64 -1/2 (.f64 eps eps))

Compiler

Compiled 496 to 308 computations (37.9% saved)

soundness299.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1324×	`associate-r`
1324×	`associate-r`
1242×	`associate-l`
1242×	`associate-l`
1010×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545
0	844	22979
1	2513	22545

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 143 to 74 computations (48.3% saved)

end317.0ms (1.3%)

Compiler: Compiled 468 to 224 computations (52.1% saved)

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

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

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

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

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

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