Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (23.2%)

Results

1.9s	4032×	body	1024	valid
1.6s	2023×	body	2048	valid
424.0ms	1363×	body	512	valid
236.0ms	837×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess17.0ms (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)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

65.36%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	65.36%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize53.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.04%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	6.39%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite138.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

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

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simplify218.0ms (1.2%)

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))

eval101.0ms (0.6%)

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

prune95.0ms (0.5%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	255	31	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	255	32	287

Error

0.22%

Counts

287 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	50.46%	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	65.67%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	65.49%	(/.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)))
	65.52%	(/.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)))
	39.69%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	39.72%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	65.64%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	39.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	67.55%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	68.52%	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	64.03%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	39.75%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	65.4%	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	65.33%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	76.75%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	65.36%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	89.47%	(-.f64 (cos.f64 x) (cos.f64 x))
	65%	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	65.47%	(-.f64 (cos.f64 eps) 1)
	65.44%	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
▶	11.1%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.75%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	65.47%	(.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)))))))
	55.25%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	60.14%	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	66.27%	(.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)))))))
	55.09%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x)))))
	25.5%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
▶	65.4%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	65.44%	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	88.62%	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	80.05%	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))

Compiler

Compiled 1095 to 670 computations (38.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.24%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.37%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.17%	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series9.0ms (0%)

Counts

4 → 92

Calls

24 calls:

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

rewrite204.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (/.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify244.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 646

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.15%	(-.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)

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.04%	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	6.39%	(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	x	@	-inf	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

rewrite104.0ms (0.6%)

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

simplify198.0ms (1.1%)

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)))))
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(/.f64 (.f64 (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)) 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)))) (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 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.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 (.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 (+.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 (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)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.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 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (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 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 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (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)) 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))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.14%	(expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.24%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	1.04%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	6.39%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite170.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`associate-*r/`
894×	`distribute-rgt-in`
894×	`associate-*l/`
858×	`distribute-lft-in`
330×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	249	46
2	3349	46

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

simplify207.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate--r+`
850×	`fma-def`
646×	`+-commutative`
638×	`associate-r`
520×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	13439
1	1665	12747
2	7267	12747

Stop Event

1×	node limit

Counts

237 → 322

Calls

Call 1

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

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

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9%	(+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps)))
✓	0.97%	(-.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))))))
✓	3.4%	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
✓	6.01%	(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))

Compiler

Compiled 156 to 80 computations (48.7% saved)

series8.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(-.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))))))
1.0ms	eps	@	-inf	(-.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))))))
0.0ms	x	@	-inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
0.0ms	x	@	inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))
0.0ms	eps	@	inf	(-.f64 (-.f64 eps x) (fma.f64 2 x eps))

rewrite195.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`associate-+l+`
702×	`+-commutative`
678×	`associate-+r+`
500×	`add-sqr-sqrt`
488×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	164
1	458	164
2	6878	164

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

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

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

simplify212.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate--l-`
960×	`fma-def`
716×	`+-commutative`
684×	`associate-+r+`
660×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	600	19017
1	1682	16631
2	7996	16625

Stop Event

1×	node limit

Counts

321 → 392

Calls

Call 1

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

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

eval982.0ms (5.4%)

Compiler: Compiled 59284 to 24851 computations (58.1% saved)

prune829.0ms (4.5%)

Pruning

63 alts after pruning (61 fresh and 2 done)

	Pruned	Kept	Total
New	1942	46	1988
Fresh	11	15	26
Picked	1	0	1
Done	3	2	5
Total	1957	63	2020

Error

0.03%

Counts

2020 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	39.72%	(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (neg.f64 (cos.f64 x))))
	65.67%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	95.72%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	65.79%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	65.64%	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	56.38%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	39.69%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	39.72%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	39.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	52.26%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
▶	11.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	67.55%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	64.03%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	96.61%	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	89.86%	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	50.46%	(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x)))
	40.02%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	39.75%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	39.75%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	65.4%	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	65.33%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	65.36%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	89.26%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	65%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	65.47%	(-.f64 (cos.f64 eps) 1)
	40.54%	(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	65.44%	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	34.93%	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	32.92%	(+.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))))
	12.85%	(+.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)))
	11.22%	(+.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)))))
	27.46%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	39.89%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	56.41%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.01%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	50.39%	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	91.66%	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	11.06%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	95.72%	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	65.47%	(.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)))))))
	55.09%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	55.25%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	60.14%	(*.f64 (neg.f64 eps) (sin.f64 x))
▶	80.89%	(.f64 -1/2 (.f64 eps eps))
	66.15%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 (-.f64 eps x) eps) (+.f64 x x))))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x x) (+.f64 eps x)))))))
	89.03%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	65.88%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	65.9%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	66.17%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 eps (-.f64 x (+.f64 (.f64 x 3) eps))))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	65.93%	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	25.5%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	90.84%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	65.72%	(log1p.f64 (-.f64 (+.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) 2))
	65.04%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	65.51%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	65.44%	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	95.72%	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	88.53%	(fabs.f64 (/.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))
▶	88.01%	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	87.21%	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	73.9%	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	80.52%	(expm1.f64 (log.f64 (cos.f64 eps)))
	95.72%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))

Compiler

Compiled 2159 to 1437 computations (33.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.24%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.37%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	2.15%	(+.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
2.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	eps	@	-inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
0.0ms	x	@	0	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

rewrite145.0ms (0.8%)

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

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

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1770	18647

Stop Event

1×	node limit

Counts

297 → 421

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.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))

rewrite53.0ms (0.3%)

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))))))))

simplify40.0ms (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))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.18%	(-.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`*-commutative`
626×	`unswap-sqr`
492×	`associate-*r/`
488×	`swap-sqr`
424×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	176	15
2	2418	15

Stop Event

1×	node limit

Counts

1 → 122

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1604×	`associate-*r/`
1188×	`associate-*l/`
1102×	`+-commutative`
788×	`associate-+l-`
576×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	7974
1	1077	7584
2	4517	7580

Stop Event

1×	node limit

Counts

130 → 226

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.29%	(exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	0.46%	(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	0.91%	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	6.39%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`associate-*r/`
924×	`distribute-rgt-in`
902×	`distribute-lft-in`
820×	`associate-*l/`
292×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	241	67
2	3295	67

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

Outputs

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

simplify204.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1828×	`associate-/r*`
950×	`+-commutative`
816×	`associate-/r/`
528×	`associate-r`
466×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	461	15629
1	1270	14957
2	5175	14957

Stop Event

1×	node limit

Counts

303 → 253

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.24%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.37%	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.17%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

24 calls:

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

rewrite183.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	100
1	295	92
2	4310	72

Stop Event

1×	node limit

Counts

4 → 304

Calls

Call 1

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

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

simplify220.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-r`
846×	`+-commutative`
822×	`associate-l`
688×	`associate-+r+`
528×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	829	23178
1	2247	21630

Stop Event

1×	node limit

Counts

368 → 507

Calls

Call 1

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

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

eval994.0ms (5.4%)

Compiler: Compiled 45029 to 16584 computations (63.2% saved)

prune530.0ms (2.9%)

Pruning

73 alts after pruning (69 fresh and 4 done)

	Pruned	Kept	Total
New	1526	36	1562
Fresh	23	33	56
Picked	0	1	1
Done	3	3	6
Total	1552	73	1625

Error

0.02%

Counts

1625 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	48.15%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.72%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	65.67%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	95.72%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	65.79%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	40.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))))
	65.64%	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	56.38%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	95.72%	(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	39.72%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	39.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	52.26%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
✓	11.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.35%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	56.41%	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	67.55%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	61.01%	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	34.93%	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	64.03%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
▶	90.11%	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	11.06%	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	50.46%	(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x)))
	40.02%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))))))
	39.75%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	39.75%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	50.39%	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	65.4%	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	11.25%	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	65.33%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	57.07%	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
✓	65.36%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	89.26%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	65%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	65.47%	(-.f64 (cos.f64 eps) 1)
	11.24%	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	1.05%	(+.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))))
	1.2%	(+.f64 (/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	11.12%	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.36%	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	65.44%	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	11.66%	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	11.17%	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	12.81%	(+.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)))
	11.17%	(+.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)))))
	27.44%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	63.99%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	95.72%	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	95.72%	(+.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))))
	94.89%	(+.f64 1 (cos.f64 eps))
▶	55.09%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	55.25%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	95.23%	(.f64 (.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (.f64 (-.f64 (-.f64 x eps) x) 1/2))) 2)
	60.14%	(*.f64 (sin.f64 x) (neg.f64 eps))
	94.94%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (cos.f64 (/.f64 eps 2))))
	96.38%	(*.f64 2 (cos.f64 x))
✓	80.89%	(.f64 -1/2 (.f64 eps eps))
	66.15%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 (-.f64 eps x) eps) (+.f64 x x))))) (cos.f64 (*.f64 1/2 (-.f64 (+.f64 eps x) (-.f64 (-.f64 x x) (+.f64 eps x)))))))
	89.03%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	65.88%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
▶	65.9%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	65.93%	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	25.5%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	90.84%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	65.04%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) (cos.f64 x))))
	65.51%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	95.88%	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 eps))))
	96.38%	(log.f64 (exp.f64 (*.f64 2 (cos.f64 x))))
	87.21%	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	87.11%	(fabs.f64 (-.f64 1 (cos.f64 x)))
	89.63%	(fabs.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 eps x) 1/2)) (sin.f64 (.f64 (+.f64 eps x) 1/2))) -2))
	73.9%	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	87.89%	(fabs.f64 (.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))))
	80.52%	(expm1.f64 (log.f64 (cos.f64 eps)))

Compiler

Compiled 2312 to 1630 computations (29.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.32%	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))
	0.37%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.38%	(pow.f64 (sin.f64 eps) 2)
✓	0.55%	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 69 to 30 computations (56.5% saved)

series11.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-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)))
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	x	@	-inf	(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x)))

rewrite90.0ms (0.5%)

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(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 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule 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simplify88.0ms (0.5%)

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))))
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(.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)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (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))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4)))))))
(-.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (pow.f64 eps 4) (.f64 -1/24 (cos.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (fma.f64 -1 (.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -1/630) (fma.f64 -1/2880 (cos.f64 x) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (.f64 (cos.f64 x) -1/24) -1/4))) (.f64 (.f64 (cos.f64 x) -1/24) 1/48))))) (neg.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 1/45) (fma.f64 1/96 (cos.f64 x) (.f64 (*.f64 (cos.f64 x) -1/24) -1/4))))))))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (fma.f64 (pow.f64 eps 8) (-.f64 (.f64 (cos.f64 x) -5/4032) (fma.f64 -1/4 (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)) (.f64 (cos.f64 x) -1/1152))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (cos.f64 x) 17/1440) (.f64 (cos.f64 x) 1/96)))))) (.f64 (pow.f64 eps 4) (*.f64 -1/24 (cos.f64 x))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.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 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
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(*.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)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(.f64 -1/2 (.f64 eps eps))
✓	1.52%	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`add-sqr-sqrt`
1830×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1712×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	13
2	2636	13

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(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 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 eps eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) -1)))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-/l*`
948×	`associate-/r*`
900×	`associate-+r-`
882×	`associate-r`
874×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1656
1	300	1550
2	928	1538
3	3987	1538

Stop Event

1×	node limit

Counts

60 → 67

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

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 1 (fma.f64 -1/2 (*.f64 eps eps) -1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) -1) 1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (.f64 -1/2 (.f64 eps eps)) 0)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(+.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 1 (.f64 -1/2 (*.f64 eps eps)))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 (.f64 eps eps) -1/2)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 -1/2 (*.f64 eps eps)) 1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 (cbrt.f64 (*.f64 eps eps)) -1/2))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (.f64 -1/2 (.f64 eps eps))))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (cbrt.f64 (.f64 eps (.f64 -1/2 eps))) (cbrt.f64 (.f64 (pow.f64 eps 4) 1/4)))
(.f64 (.f64 -1/2 eps) eps)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (*.f64 eps eps)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (cbrt.f64 (*.f64 eps eps)))
(.f64 (cbrt.f64 (pow.f64 eps 4)) (.f64 -1/2 (cbrt.f64 (*.f64 eps eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))))
(.f64 (.f64 (*.f64 -1/2 eps) 1) eps)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(.f64 (.f64 (.f64 -1/2 eps) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps))
(.f64 (.f64 -1/2 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)))
(.f64 -1/2 (.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps))))
(.f64 -1/2 (.f64 eps (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps))))
(.f64 (+.f64 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))
(.f64 (+.f64 1 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2)))) (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1))
(fma.f64 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) -1)
(/.f64 1 (/.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (+.f64 (.f64 -1/2 (*.f64 eps eps)) 2))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (.f64 eps eps) 1) -1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (.f64 eps eps)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (-.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) 1) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(/.f64 (-.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) -1) (fma.f64 -1/2 (.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (.f64 eps eps) -1)))
(/.f64 (fma.f64 (fma.f64 eps (.f64 -1/2 eps) -1) (fma.f64 eps (.f64 eps 1/2) 1) 1) (+.f64 (.f64 eps (.f64 eps 1/2)) 2))
(/.f64 (fma.f64 (fma.f64 eps (.f64 -1/2 eps) -1) (fma.f64 eps (.f64 eps 1/2) 1) 1) (+.f64 2 (.f64 eps (.f64 eps 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 -1/2 (.f64 eps eps) -1) (fma.f64 -1/2 (.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) -1) 3)) (+.f64 1 (.f64 (fma.f64 -1/2 (.f64 eps eps) -1) (-.f64 (fma.f64 -1/2 (.f64 eps eps) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) -1) 3)) (fma.f64 (fma.f64 eps (.f64 -1/2 eps) -1) (+.f64 (.f64 eps (.f64 -1/2 eps)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (.f64 -1/2 (*.f64 eps eps)) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2)) (fma.f64 -1/2 (.f64 eps eps) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 2)) (fma.f64 eps (.f64 -1/2 eps) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (+.f64 (.f64 -1/2 (.f64 eps eps)) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (.f64 eps eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 eps eps) 1) 2) (fma.f64 -1/2 (*.f64 eps eps) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 eps (.f64 -1/2 eps) 1) 3)) (+.f64 2 (fma.f64 -1/2 (.f64 eps eps) (pow.f64 (fma.f64 eps (*.f64 -1/2 eps) 1) 2))))
(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 (.f64 (pow.f64 (.f64 eps eps) 3) -1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 eps eps)) -1/2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 eps eps)))))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps eps) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(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))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (*.f64 eps eps))) 1))
(.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))
(fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))
(fma.f64 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2))) -1)
(.f64 (+.f64 1 (hypot.f64 1 (.f64 eps (sqrt.f64 -1/2)))) (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 eps eps) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 eps eps) 1)) -1)
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 -1/2 eps))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(+.f64 x (+.f64 x eps))
✓	0.32%	(.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓	5.13%	(+.f64 x (-.f64 eps x))
✓	6.25%	(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

Compiler

Compiled 88 to 34 computations (61.4% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`associate-/r*`
738×	`associate-+l+`
510×	`associate-/l*`
438×	`+-commutative`
376×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	342	100
2	5020	100

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

Outputs
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simplify173.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-+r-`
1258×	`+-commutative`
580×	`associate-r`
482×	`associate-l`
456×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	570	7397
1	1507	6389
2	7096	6389

Stop Event

1×	node limit

Counts

291 → 331

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.05%	(+.f64 (-.f64 eps x) (fma.f64 2 x eps))
✓	1.05%	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))
✓	1.38%	(+.f64 x (*.f64 x -3))
	6.01%	(cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))

Compiler

Compiled 127 to 75 computations (40.9% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))
1.0ms	eps	@	inf	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))
0.0ms	eps	@	0	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))
0.0ms	x	@	0	(+.f64 x (*.f64 x -3))
0.0ms	x	@	0	(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))

rewrite154.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`associate-+l+`
652×	`+-commutative`
584×	`associate-+r+`
510×	`add-sqr-sqrt`
494×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	99
1	471	87
2	6863	87

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs
(+.f64 x (*.f64 x -3))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))))
(+.f64 (-.f64 eps x) (fma.f64 2 x eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 x 4)) (/.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (/.f64 1 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 4) (*.f64 (*.f64 x -2) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))) (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -3) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x x)) (-.f64 (*.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x -2) (*.f64 x 4))) (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) 2) (cbrt.f64 (*.f64 x -3)) x)))))

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

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1288×	`+-commutative`
1006×	`associate-+l-`
836×	`associate-+r-`
826×	`associate--r+`
472×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	11837
1	1117	10017
2	5047	8659

Stop Event

1×	node limit

Counts

203 → 261

Calls

Call 1

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

Outputs
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(-.f64 1 (cos.f64 eps))
(-.f64 (+.f64 1 (*.f64 (sin.f64 eps) x)) (cos.f64 eps))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (fma.f64 x (sin.f64 eps) 1) (cos.f64 eps))
(-.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))))))) (cos.f64 eps))
(+.f64 1 (-.f64 (fma.f64 (sin.f64 eps) x (neg.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) (cos.f64 eps)))
(-.f64 (-.f64 (fma.f64 x (sin.f64 eps) 1) (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)))) (cos.f64 eps))
(-.f64 (fma.f64 x (sin.f64 eps) 1) (+.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (cos.f64 eps)))
(-.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (.f64 (sin.f64 eps) x) (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/2 (cos.f64 eps)))))))) (cos.f64 eps))
(-.f64 (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (+.f64 1 (fma.f64 (sin.f64 eps) x (neg.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x)))))) (cos.f64 eps))
(-.f64 (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (-.f64 (fma.f64 x (sin.f64 eps) 1) (.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))))) (cos.f64 eps))
(fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (-.f64 (fma.f64 x (sin.f64 eps) 1) (+.f64 (.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (cos.f64 eps))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 -1 x)) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 x))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(-.f64 (+.f64 (.f64 eps (sin.f64 x)) (cos.f64 (.f64 1/2 (+.f64 (*.f64 -3 x) x)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (cos.f64 (neg.f64 x))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (cos.f64 x))
(-.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))) (cos.f64 x))
(-.f64 (+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 (neg.f64 x))) (.f64 1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))) (cos.f64 x))
(-.f64 (fma.f64 eps (sin.f64 x) (fma.f64 1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (cos.f64 x))) (cos.f64 x))
(-.f64 (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))) (cos.f64 x))
(-.f64 (+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 (neg.f64 x))) (fma.f64 1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (.f64 -1/6 (pow.f64 eps 3)) (sin.f64 x)))) (cos.f64 x))
(+.f64 (fma.f64 eps (sin.f64 x) (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)))) (cos.f64 x)))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (-.f64 (fma.f64 2 x eps) (.f64 -1 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (-.f64 (fma.f64 2 x eps) (.f64 -1 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (-.f64 (fma.f64 2 x eps) (.f64 -1 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (-.f64 (fma.f64 2 x eps) (.f64 -1 eps)))))
(-.f64 (cos.f64 (neg.f64 x)) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(-.f64 (cos.f64 x) (cos.f64 (*.f64 1/2 (+.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (*.f64 2 x) x)
(fma.f64 2 x (neg.f64 x))
x
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(*.f64 2 eps)
(*.f64 eps 2)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(*.f64 2 eps)
(*.f64 eps 2)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (+.f64 (.f64 2 eps) (.f64 2 x)) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(*.f64 2 eps)
(*.f64 eps 2)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
x
(fma.f64 2 x (neg.f64 x))
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
x
(fma.f64 2 x (neg.f64 x))
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(+.f64 (*.f64 2 eps) x)
(-.f64 (*.f64 2 (+.f64 eps x)) x)
(fma.f64 eps 2 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -2))) 1)
(*.f64 -2 x)
(-.f64 (/.f64 (.f64 x x) (.f64 x 4)) (/.f64 (pow.f64 (.f64 x -3) 2) (.f64 x 4)))
(-.f64 (.f64 (/.f64 x x) (/.f64 x 4)) (/.f64 (pow.f64 (.f64 x -3) 2) (*.f64 x 4)))
(-.f64 (/.f64 x 4) (/.f64 (.f64 (.f64 x x) 9) (*.f64 x 4)))
(*.f64 x -2)
(*.f64 -2 x)
(.f64 (.f64 x -2) 1)
(*.f64 -2 x)
(.f64 1 (.f64 x -2))
(*.f64 -2 x)
(.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(*.f64 -2 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(*.f64 -2 x)
(.f64 (.f64 (.f64 x -2) (.f64 x 4)) (/.f64 1 (*.f64 x 4)))
(*.f64 -2 x)
(.f64 (+.f64 (pow.f64 x 3) (.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(.f64 (.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 x (.f64 -3 (fma.f64 x -3 (neg.f64 x)))))))
(/.f64 (.f64 (pow.f64 x 3) -26) (.f64 x (+.f64 x (.f64 -3 (.f64 x -4)))))
(*.f64 -2 x)
(/.f64 1 (/.f64 (.f64 x 4) (.f64 (.f64 x -2) (.f64 x 4))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 (fma.f64 2 x eps) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 (fma.f64 2 x eps) (-.f64 (fma.f64 2 x eps) (-.f64 eps x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 (fma.f64 2 x eps) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 (fma.f64 2 x eps) (+.f64 (-.f64 (fma.f64 2 x eps) eps) x)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 eps x) 3) (pow.f64 (fma.f64 x 2 eps) 3)) (fma.f64 (fma.f64 x 2 eps) (+.f64 x (-.f64 (fma.f64 x 2 eps) eps)) (pow.f64 (-.f64 eps x) 2))))
(pow.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps)) 1)
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))) 2)
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))) 3)
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(pow.f64 (pow.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps)) 3) 1/3)
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps)) 2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 2 x eps) (-.f64 eps x)) 2))
(fabs.f64 (+.f64 eps (-.f64 (fma.f64 x 2 eps) x)))
(fabs.f64 (+.f64 eps (+.f64 x eps)))
(log.f64 (exp.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps)) 3))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(exp.f64 (log.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))) 1))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 eps x) (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 1 eps (neg.f64 (-.f64 x (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 1 (-.f64 eps x) (fma.f64 2 x eps))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 1 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (sqrt.f64 (fma.f64 2 x eps)) (sqrt.f64 (fma.f64 2 x eps)) (-.f64 eps x))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) (fma.f64 2 x eps))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (-.f64 x (fma.f64 2 x eps))))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (cbrt.f64 (fma.f64 2 x eps)) (-.f64 eps x))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) (fma.f64 2 x eps))
(+.f64 (fma.f64 2 x eps) (-.f64 eps x))
(+.f64 eps (-.f64 (fma.f64 x 2 eps) x))
(+.f64 eps (+.f64 x eps))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (neg.f64 (-.f64 x (fma.f64 2 x eps))))
(-.f64 (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)) (-.f64 x (fma.f64 x 2 eps)))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (+.f64 x eps))

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.13%	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	0.24%	(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
✓	3.51%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite131.0ms (0.7%)

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	62
1	272	42
2	3575	42

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

simplify185.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-+r+`
1196×	`associate-+l+`
884×	`+-commutative`
738×	`associate-r`
640×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	416	12882
1	1179	12506
2	6029	12506

Stop Event

1×	node limit

Counts

190 → 251

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

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

eval636.0ms (3.5%)

Compiler: Compiled 41622 to 19692 computations (52.7% saved)

prune421.0ms (2.3%)

Pruning

88 alts after pruning (80 fresh and 8 done)

	Pruned	Kept	Total
New	1339	26	1365
Fresh	10	54	64
Picked	0	1	1
Done	1	7	8
Total	1350	88	1438

Error

0.01%

Counts

1438 → 88

Alt Table

Click to see full alt table

Status	Error	Program
	39.72%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	65.67%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	95.72%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	65.79%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	65.64%	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	56.38%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	95.72%	(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	39.72%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	39.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	52.26%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
✓	11.1%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
	32.35%	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)))
	56.41%	(-.f64 (-.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	67.55%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	61.01%	(-.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
	34.93%	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))
	64.03%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
✓	90.11%	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	11.06%	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	50.46%	(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x)))
	39.75%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	39.75%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	40.04%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
	63.87%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
	65.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	50.39%	(-.f64 (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
	65.4%	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	11.25%	(-.f64 (log.f64 (exp.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)))) (.f64 (sin.f64 x) (sin.f64 eps)))
	65.33%	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	57.07%	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
✓	65.36%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	89.26%	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	65%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	65.47%	(-.f64 (cos.f64 eps) 1)
	11.24%	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	1.05%	(+.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))))
	11.5%	(+.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))))
	11.12%	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	39.36%	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
	11.66%	(+.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	11.17%	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	12.81%	(+.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)))
	11.17%	(+.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)))))
	27.44%	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (+.f64 0 (pow.f64 (sin.f64 x) 2)) (sin.f64 eps))))
	63.99%	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	95.72%	(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	95.72%	(+.f64 (cos.f64 x) (expm1.f64 (log1p.f64 (cos.f64 (+.f64 eps x)))))
	94.89%	(+.f64 1 (cos.f64 eps))
	56.09%	(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
	55.62%	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))))) 3) -2)
	55.48%	(.f64 (/.f64 -2 (/.f64 2 (.f64 (sin.f64 (/.f64 (-.f64 (.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))) (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (sin.f64 (/.f64 (+.f64 (.f64 1/2 (-.f64 eps (+.f64 (-.f64 x x) (+.f64 x (+.f64 x eps))))) (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) -2)
	75.08%	(.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
	92.13%	(.f64 (.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
	40.88%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 (.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	60.16%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	70.94%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 eps x)) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x)))) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	54.74%	(.f64 (.f64 (sin.f64 (.f64 (-.f64 (/.f64 eps (/.f64 (+.f64 x eps) eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
✓	55.09%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	87.14%	(.f64 (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 x)) -2)
	48.36%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (cbrt.f64 (.f64 eps (+.f64 x (-.f64 x eps)))) (/.f64 (cbrt.f64 (.f64 eps (+.f64 x (-.f64 x eps)))) (/.f64 (+.f64 x (-.f64 x eps)) (cbrt.f64 (.f64 eps (+.f64 x (-.f64 x eps))))))) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	54.26%	(.f64 (.f64 (sin.f64 (.f64 (fabs.f64 eps) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	25.45%	(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	95.23%	(.f64 (.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (.f64 (-.f64 (-.f64 x eps) x) 1/2))) 2)
	81.02%	(.f64 (.f64 -1/2 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)))
	60.14%	(*.f64 (sin.f64 x) (neg.f64 eps))
	94.94%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (cos.f64 (/.f64 eps 2))))
	96.38%	(*.f64 2 (cos.f64 x))
✓	80.89%	(.f64 -1/2 (.f64 eps eps))
	65.62%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (.f64 -3 x) x))) (cos.f64 (.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))))
	89.23%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (*.f64 -3 x) x))) (cos.f64 x)))
	89.03%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 x)))
	76.63%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (fabs.f64 (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	65.4%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps))))))
	65.81%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (*.f64 2 eps) x))))))
	65.2%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (.f64 x -3)))) (cos.f64 (.f64 1/2 (+.f64 x (*.f64 eps 2))))))
	65.52%	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))) (cos.f64 eps)))
	65.93%	(.f64 -1 (fabs.f64 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (+.f64 eps (.f64 x -3)) eps)))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 eps x) (+.f64 (*.f64 x 3) eps)))))))
	90.84%	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	65.51%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	95.88%	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 eps))))
	96.38%	(log.f64 (exp.f64 (*.f64 2 (cos.f64 x))))
	87.21%	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	87.11%	(fabs.f64 (-.f64 1 (cos.f64 x)))
	89.63%	(fabs.f64 (.f64 (.f64 (sin.f64 (.f64 (-.f64 eps x) 1/2)) (sin.f64 (.f64 (+.f64 eps x) 1/2))) -2))
	73.9%	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	87.89%	(fabs.f64 (.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps (+.f64 x (+.f64 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))))
	80.52%	(expm1.f64 (log.f64 (cos.f64 eps)))
	89.43%	(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))

Compiler

Compiled 1486 to 1030 computations (30.7% saved)

regimes216.0ms (1.2%)

Counts

140 → 1

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	eps
61.0ms	x
39.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
1.05%	1	`x`
1.05%	1	`eps`
1.05%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2298 to 972 computations (57.7% saved)

regimes337.0ms (1.8%)

Counts

117 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

135.0ms	x
132.0ms	eps
31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.69%	3	`x`
0.68%	3	`eps`
11.06%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1695 to 782 computations (53.9% saved)

bsearch89.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.2865756404491378e-14	6.850654232153386
45.0ms	-0.4282323421465432	-2.1686120261671492e-11

Results

32.0ms	82×	body	1024	valid
23.0ms	164×	body	256	valid
16.0ms	23×	body	2048	valid
13.0ms	51×	body	512	valid

Compiler

Compiled 674 to 450 computations (33.2% saved)

regimes363.0ms (2%)

Counts

111 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

174.0ms	x
122.0ms	eps
31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.69%	3	`x`
0.68%	3	`eps`
11.06%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1597 to 743 computations (53.5% saved)

bsearch223.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
86.0ms	2.2865756404491378e-14	6.850654232153386
136.0ms	-0.4282323421465432	-2.1686120261671492e-11

Results

156.0ms	167×	body	256	valid
40.0ms	99×	body	1024	valid
11.0ms	17×	body	2048	valid
10.0ms	37×	body	512	valid

Compiler

Compiled 664 to 460 computations (30.7% saved)

regimes334.0ms (1.8%)

Counts

104 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

151.0ms	eps
118.0ms	x
31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.69%	3	`x`
0.72%	3	`eps`
11.06%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1456 to 706 computations (51.5% saved)

bsearch141.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.167748891873033e-26	5.151691710933798e-22
97.0ms	-1.9393461972240195e-15	-1.667774305725214e-19

Results

92.0ms	114×	body	1024	valid
21.0ms	34×	body	2048	valid
17.0ms	67×	body	512	valid
6.0ms	41×	body	256	valid

Compiler

Compiled 606 to 474 computations (21.8% saved)

regimes371.0ms (2%)

Counts

97 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

154.0ms	eps
132.0ms	x
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7%	3	`x`
0.72%	3	`eps`
11.06%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1317 to 645 computations (51% saved)

bsearch97.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	2.167748891873033e-26	5.151691710933798e-22
49.0ms	-1.9393461972240195e-15	-1.667774305725214e-19

Results

50.0ms	125×	body	1024	valid
19.0ms	67×	body	512	valid
18.0ms	30×	body	2048	valid
5.0ms	34×	body	256	valid

Compiler

Compiled 582 to 450 computations (22.7% saved)

regimes302.0ms (1.7%)

Counts

96 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

122.0ms	eps
113.0ms	x
32.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.71%	3	`x`
0.72%	3	`eps`
11.06%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1301 to 639 computations (50.9% saved)

bsearch101.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	2.167748891873033e-26	5.151691710933798e-22
54.0ms	-1.9393461972240195e-15	-1.667774305725214e-19

Results

52.0ms	133×	body	1024	valid
19.0ms	25×	body	2048	valid
18.0ms	66×	body	512	valid
5.0ms	32×	body	256	valid

Compiler

Compiled 558 to 426 computations (23.7% saved)

regimes290.0ms (1.6%)

Counts

94 → 1

Calls

Call 1

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

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

Calls

3 calls:

129.0ms	x
104.0ms	eps
25.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
25.45%	1	`x`
25.45%	1	`eps`
25.45%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1274 to 630 computations (50.5% saved)

regimes175.0ms (1%)

Counts

28 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(.f64 (.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 (.f64 -1/2 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))) (cos.f64 eps)))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (*.f64 -3 x) x))) (cos.f64 x)))
(.f64 (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 x)) -2)
(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (cos.f64 (/.f64 eps 2))))

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

Calls

3 calls:

82.0ms	eps
69.0ms	x
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
30.88%	3	`x`
25.1%	3	`eps`
26.74%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 237 to 129 computations (45.6% saved)

bsearch167.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
108.0ms	2.2865756404491378e-14	6.850654232153386
59.0ms	-329780.55450473947	-0.4282323421465432

Results

70.0ms	79×	body	1024	valid
67.0ms	158×	body	256	valid
12.0ms	19×	body	2048	valid
12.0ms	48×	body	512	valid

Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes126.0ms (0.7%)

Counts

26 → 3

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(.f64 (.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 (.f64 -1/2 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps)))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (*.f64 x -3)))) (cos.f64 eps)))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 (*.f64 -3 x) x))) (cos.f64 x)))
(.f64 (.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 x)) -2)

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

Calls

3 calls:

61.0ms	eps
44.0ms	x
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
30.91%	3	`x`
32.52%	5	`eps`
36.82%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 209 to 112 computations (46.4% saved)

bsearch140.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	2.7571195893700626e-19	5.867630155723479e-8
82.0ms	-6.83297094791292e-14	-1.9393461972240195e-15

Results

66.0ms	88×	body	512	valid
48.0ms	121×	body	1024	valid
16.0ms	25×	body	2048	valid
6.0ms	38×	body	256	valid

Compiler

Compiled 337 to 282 computations (16.3% saved)

regimes110.0ms (0.6%)

Counts

18 → 4

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 eps eps))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
(*.f64 2 (cos.f64 x))
(+.f64 1 (cos.f64 eps))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (-.f64 1 (cos.f64 x)))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) -1/8))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

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

Calls

3 calls:

61.0ms	x
33.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
40.19%	3	`x`
33.85%	4	`eps`
36.91%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 122 to 58 computations (52.5% saved)

bsearch114.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	2.2865756404491378e-14	6.850654232153386
23.0ms	-2.7587497049048077e-119	-2.298075294055572e-119
48.0ms	-0.4282323421465432	-2.1686120261671492e-11

Results

56.0ms	139×	body	1024	valid
26.0ms	163×	body	256	valid
17.0ms	28×	body	2048	valid
10.0ms	38×	body	512	valid

Compiler

Compiled 382 to 286 computations (25.1% saved)

regimes38.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
18.0ms	eps

Results

Error	Segments	Branch
40.19%	3	`x`
36.28%	3	`eps`

Compiler

Compiled 54 to 33 computations (38.9% saved)

bsearch76.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	2.2865756404491378e-14	6.850654232153386
28.0ms	-3428087.121872357	-329780.55450473947

Results

30.0ms	66×	body	1024	valid
25.0ms	143×	body	256	valid
9.0ms	34×	body	512	valid
8.0ms	13×	body	2048	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes17.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
65.47%	1	`x`
56.24%	3	`eps`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch119.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	2.4828245228952e-16	2.2865756404491378e-14
51.0ms	-0.4282323421465432	-2.1686120261671492e-11

Results

55.0ms	21×	body	2048	valid
30.0ms	73×	body	1024	valid
21.0ms	148×	body	256	valid
8.0ms	30×	body	512	valid

Compiler

Compiled 269 to 214 computations (20.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -11.2b remaining (-21.6%)

Threshold costs -11.2b (-21.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
80.89%	1	`x`
80.89%	1	`eps`

Compiler

Compiled 30 to 21 computations (30% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

50×	`+-commutative`
50×	`*-commutative`
24×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	1167
1	195	1151
2	227	1151
3	241	1151
4	246	1151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -2281771080410813/5070602400912917605986812821504) (+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -7301667457314601/10141204801825835211973625643008) (+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 7443676776395529/21267647932558653966460912964485513216) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -7707315649387635/40564819207303340847894502572032) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(if (<=.f64 eps -7746191359077253/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/288230376151711744) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 x -5197367460935741/633825300114114700748351602688) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x 817040425928351/1237940039285380274899124224) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) (.f64 (neg.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4906161388995347/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3804640965202595/2305843009213693952) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -340000) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2833419889721787/9444732965739290427392) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3565267313141895/158456325028528675187087900672) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(.f64 -1/2 (.f64 eps eps))

Outputs
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))))
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -534955578137577/9223372036854775808) (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -2281771080410813/5070602400912917605986812821504) (+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 x -2281771080410813/5070602400912917605986812821504) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) -2))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))))))
(if (<=.f64 x -2281771080410813/5070602400912917605986812821504) (-.f64 (.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) -2)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -7301667457314601/10141204801825835211973625643008) (+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 x 7443676776395529/21267647932558653966460912964485513216) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -7301667457314601/10141204801825835211973625643008) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) -2))) (if (<=.f64 x 7443676776395529/21267647932558653966460912964485513216) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -7301667457314601/10141204801825835211973625643008) (-.f64 (.f64 (cos.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) -2)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 7443676776395529/21267647932558653966460912964485513216) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -7707315649387635/40564819207303340847894502572032) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 5316911983139663/10633823966279326983230456482242756608) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -7707315649387635/40564819207303340847894502572032) (not (<=.f64 x 5316911983139663/10633823966279326983230456482242756608))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 (.f64 1/2 (+.f64 x (+.f64 eps x))))) -2)
(if (<=.f64 eps -7746191359077253/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/288230376151711744) (-.f64 (.f64 (cos.f64 x) (.f64 (.f64 -1/2 eps) eps)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7746191359077253/18014398509481984) (not (<=.f64 eps 3314649325744685/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))))
(if (<=.f64 x -5197367460935741/633825300114114700748351602688) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 x 817040425928351/1237940039285380274899124224) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) (.f64 (neg.f64 eps) (sin.f64 x))))
(if (or (<=.f64 x -5197367460935741/633825300114114700748351602688) (not (<=.f64 x 817040425928351/1237940039285380274899124224))) (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(if (or (<=.f64 x -5197367460935741/633825300114114700748351602688) (not (<=.f64 x 817040425928351/1237940039285380274899124224))) (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4906161388995347/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3804640965202595/2305843009213693952) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4906161388995347/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3804640965202595/2305843009213693952) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7378697629483821/36893488147419103232) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -4906161388995347/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 3804640965202595/2305843009213693952) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -340000) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2833419889721787/9444732965739290427392) (*.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -340000) (not (<=.f64 eps 2833419889721787/9444732965739290427392))) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -340000) (not (<=.f64 eps 2833419889721787/9444732965739290427392))) (+.f64 -1 (cos.f64 eps)) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 3565267313141895/158456325028528675187087900672) (.f64 -1/2 (.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -3412647653636267/18446744073709551616) (not (<=.f64 eps 3565267313141895/158456325028528675187087900672))) (+.f64 -1 (cos.f64 eps)) (.f64 -1/2 (.f64 eps eps)))
(.f64 -1/2 (.f64 eps eps))

Compiler

Compiled 419 to 271 computations (35.3% saved)

soundness184.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1388×	`associate--r+`
1320×	`associate-r`
1250×	`associate-l`
1010×	`+-commutative`
850×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	13439
1	1665	12747
2	7267	12747
0	844	22979
1	2513	22545

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 265 to 93 computations (64.9% saved)

end232.0ms (1.3%)

Compiler: Compiled 395 to 193 computations (51.1% 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