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 (27.1%)

Results

2.0s	4042×	body	1024	valid
1.6s	2066×	body	2048	valid
409.0ms	1370×	body	512	valid
145.0ms	776×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess18.0ms (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

67.5%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	67.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 x)
✓	2.48%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.11%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 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))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	212	37
2	3121	37

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

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

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1258×	`+-commutative`
916×	`associate-+r-`
904×	`fma-def`
812×	`associate-r`
672×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	10579
1	1344	10067
2	7195	10067

Stop Event

1×	node limit

Counts

229 → 306

Calls

Call 1

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

eval86.0ms (0.6%)

Compiler: Compiled 7264 to 2378 computations (67.3% saved)

prune94.0ms (0.6%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	272	34	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	34	307

Error

0.32%

Counts

307 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	44.13%	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
▶	13.48%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	67.82%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	67.69%	(/.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)))
	67.61%	(/.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)))))
	67.72%	(/.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)))
▶	67.53%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	46.4%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	67.97%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	46.74%	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	46.58%	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	46.46%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	68.9%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	69.83%	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	61.65%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	75.29%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	67.53%	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	67.8%	(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
	70.1%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	67.78%	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	67.45%	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	89.57%	(-.f64 (cos.f64 x) (cos.f64 x))
	66.85%	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	66.78%	(-.f64 (cos.f64 eps) 1)
	69.49%	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
	13.49%	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	46.45%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	68.5%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	67.83%	(*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	54.63%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	56.53%	(*.f64 (sin.f64 x) (neg.f64 eps))
	20.99%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
▶	67.6%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	89.14%	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Compiler

Compiled 1114 to 702 computations (37% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(cos.f64 eps)
✓	0.13%	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.2%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	2.71%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 40 to 17 computations (57.5% saved)

series7.0ms (0%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
1.0ms	x	@	inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	-inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms	x	@	-inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`associate-*r/`
702×	`associate-*l/`
692×	`distribute-rgt-in`
652×	`distribute-lft-in`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	309	74
2	3873	74

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

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

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

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1008×	`associate-r`
876×	`associate-l`
840×	`associate-/l*`
838×	`fma-def`
490×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	602	11624
1	1623	11110

Stop Event

1×	node limit

Counts

304 → 386

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 eps)
✓	2.71%	(-.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)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify53.0ms (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)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.11%	(/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.11%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	2.48%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	4.11%	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`associate-*l/`
934×	`distribute-lft-in`
720×	`associate-/r*`
458×	`associate-/l*`
438×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	48
2	3704	48

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1806×	`associate--r+`
826×	`fma-def`
608×	`associate-r`
566×	`+-commutative`
504×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	12512
1	1651	11894
2	6656	11894

Stop Event

1×	node limit

Counts

226 → 327

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.13%	(expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.23%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	2.48%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	4.11%	(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)))

rewrite126.0ms (0.8%)

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

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

simplify175.0ms (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)
(-.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 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1)
(.f64 -1 (.f64 eps (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)))))
(+.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))))))
(+.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 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (+.f64 (.f64 -1/4 (.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 1/8 (pow.f64 (cos.f64 x) 2)) (+.f64 (.f64 1/24 (pow.f64 (sin.f64 x) 4)) (.f64 -1/6 (pow.f64 (sin.f64 x) 2))))))) (+.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)))))))
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 1 (.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 (.f64 (neg.f64 (cos.f64 x)) 1) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
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(/.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)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (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)))
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(-.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)
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(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))) 1)
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(-.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)))
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(-.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)
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(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
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(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1)
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(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
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(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))) 1)
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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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 (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))
(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))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(-.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))
(+.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 1 (+.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 1 (-.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 -1 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (*.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1) -1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (+.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) 2)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (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)))))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (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))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 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)))))
(expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (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 (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 (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)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.09%	(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
✓	0.1%	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.21%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	4.48%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))

Compiler

Compiled 50 to 11 computations (78% saved)

series8.0ms (0.1%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (cos.f64 x) (cos.f64 eps))
1.0ms	eps	@	inf	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
1.0ms	x	@	inf	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
1.0ms	eps	@	-inf	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
1.0ms	x	@	-inf	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-*r/`
1330×	`associate-*l/`
338×	`add-sqr-sqrt`
330×	`pow1`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	311	76
2	4467	76

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 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 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (-.f64 1 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 1 (-.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (.f64 (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (.f64 (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (neg.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 (cbrt.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (.f64 (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))) 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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.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 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule 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simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-def`
796×	`associate-r`
746×	`associate-l`
542×	`+-commutative`
472×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	14782
1	1827	14782

Stop Event

1×	node limit

Counts

324 → 303

Calls

Call 1

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

eval634.0ms (4.1%)

Compiler: Compiled 51151 to 18674 computations (63.5% saved)

prune757.0ms (4.9%)

Pruning

60 alts after pruning (58 fresh and 2 done)

	Pruned	Kept	Total
New	1936	46	1982
Fresh	17	12	29
Picked	1	0	1
Done	2	2	4
Total	1956	60	2016

Error

0.07%

Counts

2016 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	47.16%	(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	14.01%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3))
	0.84%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))
	13.46%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
	14.25%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) (.f64 2 (-.f64 -1 (cos.f64 eps))))))
	0.93%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))
	13.64%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) -1)))
✓	13.48%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	53.59%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 -1)))
▶	0.83%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps))))
	13.54%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
	46.4%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
▶	78.16%	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
	67.82%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	67.1%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	54.48%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	21.19%	(/.f64 1 (/.f64 (/.f64 -1/2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x))))))
	67.53%	(/.f64 1 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
	66.98%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	66.88%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	66.81%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	89.14%	(/.f64 1 (/.f64 1 (fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
	56.6%	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	69.93%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	67.12%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) 1)
	66.94%	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
▶	46.46%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	68.9%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	13.49%	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	61.65%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	44.13%	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	13.5%	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	46.41%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	46.45%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
▶	75.29%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	75.43%	(-.f64 (fabs.f64 (cos.f64 eps)) 1)
	70.1%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	67.78%	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	67.45%	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	66.85%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	66.78%	(-.f64 (cos.f64 eps) 1)
▶	89.57%	(-.f64 1 1)
	47.14%	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 3))
	46.48%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1) (cos.f64 x)))
	65.83%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 -1 (cos.f64 x)))
	67.34%	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) -1)
	86.66%	(+.f64 (cos.f64 x) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	66.05%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	68.5%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	54.55%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
	56.53%	(*.f64 (sin.f64 x) (neg.f64 eps))
	77.55%	(.f64 -1/2 (.f64 eps eps))
	67.87%	(.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)))))))
	20.99%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	88.19%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	66.96%	(log1p.f64 (-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1))
	66.88%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	89.14%	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	78.51%	(expm1.f64 (log.f64 (cos.f64 eps)))
	66.92%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1667 to 1182 computations (29.1% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps)))
✓	0.22%	(/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1))
✓	0.27%	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps))
✓	0.5%	(+.f64 (neg.f64 (cos.f64 eps)) -1)

Compiler

Compiled 77 to 29 computations (62.3% saved)

series11.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps)))
1.0ms	eps	@	inf	(.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps)))
1.0ms	eps	@	-inf	(.f64 (cos.f64 x) (.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps)))
1.0ms	eps	@	inf	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps))
1.0ms	eps	@	-inf	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (neg.f64 (cos.f64 eps)) -1)) (sin.f64 eps))

rewrite147.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-*l/`
1240×	`associate-/r*`
782×	`associate-/l*`
656×	`associate-/r/`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	293	80
2	3878	64

Stop Event

1×	node limit

Counts

4 → 507

Calls

Call 1

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

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

simplify264.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-/l/`
1410×	`associate-r`
1168×	`associate-*r/`
1150×	`associate-/r*`
1132×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	863	22617
1	2569	21933

Stop Event

1×	node limit

Counts

567 → 577

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

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)
(+.f64 (.f64 -1/24 (pow.f64 eps 4)) (fma.f64 1/2 (.f64 eps eps) -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))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (cos.f64 eps) -1)
(-.f64 -1 (cos.f64 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/2)
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(*.f64 -1/2 eps)
(*.f64 eps -1/2)
(+.f64 (.f64 -1/24 (pow.f64 eps 3)) (.f64 -1/2 eps))
(fma.f64 -1/24 (pow.f64 eps 3) (*.f64 eps -1/2))
(+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 eps) (*.f64 -1/240 (pow.f64 eps 5))))
(fma.f64 -1/24 (pow.f64 eps 3) (fma.f64 -1/2 eps (*.f64 -1/240 (pow.f64 eps 5))))
(+.f64 (.f64 -17/40320 (pow.f64 eps 7)) (+.f64 (.f64 -1/24 (pow.f64 eps 3)) (+.f64 (.f64 -1/2 eps) (.f64 -1/240 (pow.f64 eps 5)))))
(fma.f64 -17/40320 (pow.f64 eps 7) (fma.f64 -1/24 (pow.f64 eps 3) (fma.f64 -1/2 eps (*.f64 -1/240 (pow.f64 eps 5)))))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (cos.f64 eps))))
(neg.f64 (tan.f64 (/.f64 eps 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 1 (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (.f64 x x)) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 1 (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (.f64 x x)) (fma.f64 -1/24 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (pow.f64 x 4)) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 1 (cos.f64 eps)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (.f64 x x))) (fma.f64 1/720 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (fma.f64 -1/24 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 4))) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))))))
(fma.f64 1/2 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (.f64 x x)) (fma.f64 1/720 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (pow.f64 x 6)) (fma.f64 -1/24 (.f64 (.f64 (sin.f64 eps) (tan.f64 (/.f64 eps 2))) (pow.f64 x 4)) (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))))
(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
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(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 -1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (cos.f64 eps))))
(.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 1 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (sqrt.f64 (cos.f64 eps)))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (+.f64 -1 (sqrt.f64 (cos.f64 eps))) (/.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) 1) (+.f64 (cos.f64 eps) -1))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.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 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (cos.f64 x) (/.f64 (+.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 -1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (cos.f64 eps))))
(.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.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 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 1 (sqrt.f64 (cos.f64 eps)))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (+.f64 -1 (sqrt.f64 (cos.f64 eps))) (/.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (cos.f64 x))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize61.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(pow.f64 eps 4)
✓	18.43%	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	228	34
2	2489	34

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-/r*`
1318×	`associate-/l*`
1138×	`associate-+l+`
1108×	`associate-+r+`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1275
1	259	1255
2	1141	1213
3	4084	1213

Stop Event

1×	node limit

Counts

55 → 58

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 x)
✓	2.59%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	4.11%	(cos.f64 (+.f64 eps x))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

12 calls:

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

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

186 → 280

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1%	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.12%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.21%	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	4.47%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series28.0ms (0.2%)

Counts

3 → 44

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	eps	@	0	(*.f64 (sin.f64 x) (sin.f64 eps))
0.0ms	eps	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
0.0ms	eps	@	inf	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
0.0ms	x	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
0.0ms	x	@	0	(*.f64 (sin.f64 x) (sin.f64 eps))

rewrite151.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 382

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify231.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	933	26480
1	2475	24384

Stop Event

1×	node limit

Counts

426 → 577

Calls

Call 1

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

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

eval467.0ms (3%)

Compiler: Compiled 42629 to 14633 computations (65.7% saved)

prune847.0ms (5.5%)

Pruning

59 alts after pruning (55 fresh and 4 done)

	Pruned	Kept	Total
New	1549	13	1562
Fresh	11	42	53
Picked	0	1	1
Done	3	3	6
Total	1563	59	1622

Error

0.07%

Counts

1622 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	47.16%	(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	0.84%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))
	13.46%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
▶	0.45%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	0.93%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))
	13.64%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (expm1.f64 (log1p.f64 (cos.f64 eps))) -1)))
✓	13.48%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	53.59%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 -1)))
	46.4%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	67.82%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
▶	67.1%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	54.48%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	21.19%	(/.f64 1 (/.f64 (/.f64 -1/2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x))))))
	66.98%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	66.88%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	66.81%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	89.14%	(/.f64 1 (/.f64 1 (fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
	56.6%	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	69.93%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
	67.12%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) 1)
	66.94%	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	46.49%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 1)) (cos.f64 x))
✓	46.46%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	86.66%	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	66.05%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	68.9%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	13.49%	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	61.65%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	44.13%	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	13.5%	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	46.41%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	46.45%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	75.94%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	88.37%	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	75.03%	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	75.43%	(-.f64 (fabs.f64 (cos.f64 eps)) 1)
	70.1%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	67.78%	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	67.45%	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	66.85%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	66.78%	(-.f64 (cos.f64 eps) 1)
✓	89.57%	(-.f64 1 1)
	68.5%	(+.f64 (+.f64 (cos.f64 eps) (neg.f64 (*.f64 x (sin.f64 eps)))) -1)
	47.14%	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 3))
	65.83%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 -1 (cos.f64 x)))
	67.34%	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) -1)
	78.16%	(+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))
▶	66.05%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	56.53%	(*.f64 (sin.f64 x) (neg.f64 eps))
	90.85%	(*.f64 1/24 (pow.f64 eps 4))
▶	77.55%	(.f64 -1/2 (.f64 eps eps))
	67.87%	(.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)))))))
	20.99%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	88.19%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	66.96%	(log1p.f64 (-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1))
	66.88%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	89.14%	(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	78.51%	(expm1.f64 (log.f64 (cos.f64 eps)))
	66.92%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1492 to 1069 computations (28.4% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 x)
✓	0.21%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
✓	0.21%	(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
✓	0.27%	(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))

Compiler

Compiled 57 to 27 computations (52.6% saved)

series15.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
2.0ms	x	@	inf	(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
1.0ms	x	@	0	(.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))
1.0ms	eps	@	-inf	(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))
1.0ms	eps	@	inf	(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`swap-sqr`
786×	`associate-*r/`
690×	`associate-*l/`
428×	`distribute-rgt-in`
390×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	115
1	331	99
2	4108	93

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

(*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps)))

(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x))

(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) 0) (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 eps 1/2))) 0) (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (tan.f64 (*.f64 eps 1/2))) (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 (tan.f64 (*.f64 eps 1/2)))) (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 1 (tan.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 eps 1/2)) (/.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (+.f64 (pow.f64 (sin.f64 eps) 2) 0)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (+.f64 0 (pow.f64 (sin.f64 eps) 3))) (+.f64 (pow.f64 (sin.f64 eps) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 (*.f64 eps 1/2)))) (neg.f64 (cos.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 eps) 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simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-/r*`
1054×	`associate-+r+`
1000×	`associate-/r/`
824×	`associate-+l+`
730×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	9621
1	1140	9005
2	4660	8997

Stop Event

1×	node limit

Counts

191 → 257

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 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
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(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
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(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
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(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
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(.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 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (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 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
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(expm1.f64 (log1p.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(.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 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (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 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.f64 (cos.f64 x) -1/24))))
(-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) -1/24)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (+.f64 (.f64 -1/144 (cos.f64 x)) (.f64 1/120 (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 (cos.f64 x) 1/720)))))
(-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 4) (neg.f64 (.f64 (cos.f64 x) -1/24)))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)))
(-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720)) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) -1/24))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (cos.f64 x))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 8) (+.f64 (.f64 1/2880 (cos.f64 x)) (+.f64 (.f64 -1/1440 (cos.f64 x)) (+.f64 (.f64 17/40320 (cos.f64 x)) (.f64 -1/10080 (cos.f64 x))))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (+.f64 (.f64 -1/144 (cos.f64 x)) (.f64 1/120 (cos.f64 x))))))))
(fma.f64 -1 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (fma.f64 -1 (.f64 (pow.f64 eps 8) (fma.f64 1/2880 (cos.f64 x) (fma.f64 -1/1440 (cos.f64 x) (.f64 (cos.f64 x) 13/40320)))) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (pow.f64 eps 6) (neg.f64 (.f64 (cos.f64 x) 1/720)))) (.f64 (pow.f64 eps 8) (fma.f64 (cos.f64 x) 1/2880 (.f64 (cos.f64 x) -1/2688)))) (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)))
(-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (.f64 (cos.f64 x) 1/720) (neg.f64 (pow.f64 eps 6)))) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24)) (.f64 (pow.f64 eps 8) (fma.f64 (cos.f64 x) 1/2880 (.f64 (cos.f64 x) -1/2688)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps))))
(neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2))))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (cos.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 x))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps)))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 2) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) (.f64 1/2 (/.f64 (.f64 (.f64 (sin.f64 eps) (.f64 x x)) (sin.f64 (.f64 eps 1/2))) (cos.f64 (.f64 eps 1/2)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (.f64 x x)))) (.f64 (sin.f64 eps) (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (.f64 x x))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 (.f64 eps 1/2))) (neg.f64 (sin.f64 (.f64 eps 1/2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 2) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 -1/24 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 4) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps))))))
(fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 (sin.f64 eps) (.f64 x x)) (sin.f64 (.f64 eps 1/2))) (cos.f64 (.f64 eps 1/2))) (/.f64 (.f64 -1/24 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 (.f64 eps 1/2)))) (cos.f64 (.f64 eps 1/2)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (.f64 x x))) (/.f64 (.f64 -1/24 (sin.f64 (.f64 eps 1/2))) (/.f64 (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)) (pow.f64 x 4)))) (.f64 (sin.f64 eps) (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (.f64 x x))) (.f64 (/.f64 -1/24 (cos.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (.f64 (pow.f64 x 4) (sin.f64 (.f64 eps 1/2)))))) (.f64 (sin.f64 eps) (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 6) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 2) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 -1/24 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 4) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))))
(fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 (.f64 eps 1/2)))) (fma.f64 1/720 (/.f64 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 (.f64 eps 1/2))) (cos.f64 (.f64 eps 1/2))) (fma.f64 1/2 (/.f64 (.f64 (.f64 (sin.f64 eps) (.f64 x x)) (sin.f64 (.f64 eps 1/2))) (cos.f64 (.f64 eps 1/2))) (/.f64 (.f64 -1/24 (.f64 (.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 (.f64 eps 1/2)))) (cos.f64 (.f64 eps 1/2))))))
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(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
(.f64 (sin.f64 eps) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))))
(.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 eps)))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 eps) (fma.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x) (sin.f64 x))) 2))
(fabs.f64 (.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x))))
(log.f64 (exp.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))) 3))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(exp.f64 (log.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))) 1))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))

localize5.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	0.01%	(cos.f64 eps)
✓	0.12%	(*.f64 x (sin.f64 eps))
	2.71%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`associate-*r/`
952×	`associate-*l/`
946×	`distribute-rgt-in`
902×	`distribute-lft-in`
318×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	239	38
2	3171	38

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

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

Outputs

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

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

simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1224×	`+-commutative`
830×	`associate-+l-`
794×	`fma-def`
780×	`associate-+r-`
652×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	13545
1	1493	11689
2	6770	11689

Stop Event

1×	node limit

Counts

243 → 284

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 eps)
✓	0.37%	(cbrt.f64 (+.f64 (cos.f64 eps) -1))
✓	0.61%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	2.71%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 23 to 15 computations (34.8% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`add-sqr-sqrt`
1764×	`*-un-lft-identity`
1660×	`add-cube-cbrt`
1646×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	211	26
2	2246	26

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(cbrt.f64 (+.f64 (cos.f64 eps) -1))

Outputs

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-/r*`
1530×	`associate-+r+`
1310×	`associate-+l+`
974×	`unswap-sqr`
410×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1566
1	304	1500
2	1001	1368
3	4029	1368

Stop Event

1×	node limit

Counts

78 → 75

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(cos.f64 eps)
	0.09%	(-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x))
	0.21%	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	3.85%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1284×	`associate-*r/`
964×	`associate-*l/`
964×	`distribute-lft-in`
306×	`add-sqr-sqrt`
300×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	283	35
2	3942	31

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

Outputs

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

simplify179.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1784×	`associate-/r*`
972×	`associate-+l+`
866×	`associate-+r+`
808×	`+-commutative`
454×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	11634
1	991	10986
2	4390	10650

Stop Event

1×	node limit

Counts

128 → 219

Calls

Call 1

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

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

eval553.0ms (3.6%)

Compiler: Compiled 36312 to 15652 computations (56.9% saved)

prune618.0ms (4%)

Pruning

61 alts after pruning (53 fresh and 8 done)

	Pruned	Kept	Total
New	1434	16	1450
Fresh	13	37	50
Picked	0	1	1
Done	1	7	8
Total	1448	61	1509

Error

0.07%

Counts

1509 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	47.16%	(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2) (cbrt.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (cos.f64 eps)))
	0.84%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))))
	13.46%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
✓	0.45%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
✓	13.48%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	53.59%	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 1 -1)))
	46.4%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	70.68%	(fma.f64 -1/2 (.f64 eps eps) (.f64 eps (neg.f64 x)))
	67.82%	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	88.19%	(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (cos.f64 eps)) 1)) 3)
	75.57%	(pow.f64 (cbrt.f64 (+.f64 (fabs.f64 (cos.f64 eps)) -1)) 3)
✓	67.1%	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	54.48%	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	21.19%	(/.f64 1 (/.f64 (/.f64 -1/2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x))))))
	66.98%	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	66.88%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	66.81%	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	56.6%	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	67.12%	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) 1)
	61.86%	(-.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) (.f64 2 (-.f64 -1 (cos.f64 eps)))) (.f64 x (sin.f64 eps)))
	49.03%	(-.f64 (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps))) (*.f64 x (sin.f64 eps)))
	61.67%	(-.f64 (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 x (sin.f64 eps)))
	66.94%	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	46.49%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (sin.f64 eps)))) 1)) (cos.f64 x))
	86.66%	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	66.05%	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	61.65%	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	13.5%	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps)))
	46.45%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	75.94%	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) 1)
	88.37%	(-.f64 (fabs.f64 (cos.f64 x)) (cos.f64 x))
	75.03%	(-.f64 (fabs.f64 (cos.f64 eps)) (cos.f64 x))
	75.43%	(-.f64 (fabs.f64 (cos.f64 eps)) 1)
	67.78%	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	67.45%	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	68.5%	(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 (sin.f64 eps) x)))
	66.85%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	66.78%	(-.f64 (cos.f64 eps) 1)
	88.26%	(-.f64 1 (cos.f64 x))
✓	89.57%	(-.f64 1 1)
	65.83%	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 -1 (cos.f64 x)))
	67.34%	(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) -1)
	78.16%	(+.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))
✓	66.05%	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	69.96%	(+.f64 -1 (+.f64 (cos.f64 eps) (-.f64 (.f64 1/2 (.f64 x x)) (*.f64 x (sin.f64 eps)))))
	0.43%	(.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 eps)))
	56.53%	(*.f64 (sin.f64 x) (neg.f64 eps))
	54.8%	(.f64 (sin.f64 eps) (-.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
	83.2%	(*.f64 eps (neg.f64 x))
✓	77.55%	(.f64 -1/2 (.f64 eps eps))
	67.87%	(.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)))))))
	0.55%	(.f64 -1 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 eps 1/2)))))))
	20.99%	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
	88.19%	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	48.77%	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) x)))
	0.45%	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
	66.96%	(log1p.f64 (-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1))
	66.88%	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 eps) 1)))
	69.73%	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))))
	78.51%	(expm1.f64 (log.f64 (cos.f64 eps)))
	66.92%	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 787 to 574 computations (27.1% saved)

regimes190.0ms (1.2%)

Counts

110 → 1

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 eps)))

Calls

3 calls:

81.0ms	eps
48.0ms	x
30.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.43%	1	`x`
0.43%	1	`eps`
0.43%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1444 to 565 computations (60.9% saved)

regimes153.0ms (1%)

Counts

78 → 1

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	x
38.0ms	eps
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.45%	1	`x`
0.45%	1	`eps`
0.45%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 824 to 385 computations (53.3% saved)

regimes281.0ms (1.8%)

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

112.0ms	eps
96.0ms	x
51.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.61%	3	`x`
0.64%	3	`eps`
10.48%	3	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 756 to 358 computations (52.6% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2177273376897337e-37	1.447764642122364e-37
65.0ms	-4.4287733967872744e-7	-3.540297126528148e-16

Results

38.0ms	87×	body	1024	valid
24.0ms	52×	body	512	valid
11.0ms	17×	body	2048	valid
3.0ms	20×	body	256	valid

Compiler

Compiled 388 to 296 computations (23.7% saved)

regimes102.0ms (0.7%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
31.0ms	eps
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.99%	1	`x`
20.99%	1	`eps`
20.99%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 717 to 343 computations (52.2% saved)

regimes133.0ms (0.9%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
44.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
32.56%	5	`x`
20.66%	3	`eps`
22.41%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 254 to 132 computations (48% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.916926033840966e-6	7.498657056826802
41.0ms	-17717150.059481163	-4.317331407054137e-12

Results

31.0ms	79×	body	1024	valid
28.0ms	179×	body	256	valid
9.0ms	38×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes137.0ms (0.9%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	x
54.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
32.56%	5	`x`
29.82%	4	`eps`
35.09%	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 213 to 115 computations (46% saved)

bsearch133.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
34.0ms	2.916926033840966e-6	7.498657056826802
60.0ms	1.7895983408511245e-89	3.397735771519653e-82
38.0ms	-208974607966259780.0	-17717150.059481163

Results

69.0ms	182×	body	1024	valid
27.0ms	187×	body	256	valid
17.0ms	25×	body	2048	valid
13.0ms	54×	body	512	valid

Compiler

Compiled 570 to 436 computations (23.5% saved)

regimes68.0ms (0.4%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	x
30.0ms	eps

Results

Error	Segments	Branch
36.53%	5	`x`
30.28%	4	`eps`

Compiler

Compiled 100 to 64 computations (36% saved)

bsearch128.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
37.0ms	2.916926033840966e-6	7.498657056826802
61.0ms	1.7895983408511245e-89	3.397735771519653e-82
29.0ms	-1.405457437134968e-18	-2.136612107710165e-20

Results

60.0ms	158×	body	1024	valid
23.0ms	153×	body	256	valid
23.0ms	34×	body	2048	valid
15.0ms	55×	body	512	valid

Compiler

Compiled 506 to 400 computations (20.9% saved)

regimes102.0ms (0.7%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

2 calls:

63.0ms	eps
36.0ms	x

Results

Error	Segments	Branch
36.53%	5	`x`
30.35%	4	`eps`

Compiler

Compiled 77 to 50 computations (35.1% saved)

bsearch138.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
37.0ms	2.916926033840966e-6	7.498657056826802
71.0ms	1.7895983408511245e-89	3.397735771519653e-82
30.0ms	-1.405457437134968e-18	-2.136612107710165e-20

Results

60.0ms	159×	body	1024	valid
24.0ms	35×	body	2048	valid
19.0ms	143×	body	256	valid
16.0ms	63×	body	512	valid

Compiler

Compiled 398 to 310 computations (22.1% saved)

regimes210.0ms (1.4%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

107.0ms	eps
101.0ms	x

Results

Error	Segments	Branch
63.89%	3	`x`
49.18%	5	`eps`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch388.0ms (2.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
50.0ms	2.916926033840966e-6	7.498657056826802
134.0ms	5.6261756605441226e-149	1.153187858066194e-137
161.0ms	-1.3249879469359268e-153	-4.2454000938519665e-162
42.0ms	-17717150.059481163	-4.317331407054137e-12

Results

157.0ms	113×	body	2048	valid
120.0ms	280×	body	1024	valid
41.0ms	177×	body	256	valid
9.0ms	38×	body	512	valid

Compiler

Compiled 584 to 447 computations (23.5% saved)

regimes23.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
72.9%	3	`x`
72.35%	3	`eps`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch228.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
96.0ms	5.6261756605441226e-149	1.153187858066194e-137
132.0ms	-1.3249879469359268e-153	-4.2454000938519665e-162

Results

154.0ms	123×	body	2048	valid
70.0ms	181×	body	1024	valid

Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes8.0ms (0.1%)

Accuracy

Total -4.9b remaining (-9.2%)

Threshold costs -4.9b (-9.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
83.2%	1	`x`
83.2%	1	`eps`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

94×	`*-commutative`
58×	`+-commutative`
36×	`neg-mul-1`
36×	`neg-sub0`
30×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	766
1	190	766
2	240	766
3	280	766
4	299	766
5	307	766
6	309	766

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 eps)))
(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 x -2568967366681087/151115727451828646838272) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696) (neg.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1188950301625811/36028797018963968) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -18000000) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4921314130761777/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5764607523034235/1152921504606846976) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 734987459186865/144115188075855872) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5319393762672285/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (.f64 eps (neg.f64 x)) (.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (neg.f64 x))
(-.f64 1 1)

Outputs
(.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 eps)))
(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(if (<=.f64 x -2568967366681087/151115727451828646838272) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696) (neg.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -2568967366681087/151115727451828646838272) (not (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (neg.f64 (sin.f64 eps)) (+.f64 x (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))))))
(if (or (<=.f64 x -2568967366681087/151115727451828646838272) (not (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (-.f64 (neg.f64 x) (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -7493989779944505/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1188950301625811/36028797018963968) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -7493989779944505/576460752303423488) (not (<=.f64 eps 1188950301625811/36028797018963968))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -18000000) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4921314130761777/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5764607523034235/1152921504606846976) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -18000000) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4921314130761777/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (neg.f64 (.f64 eps (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -18000000) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4921314130761777/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5764607523034235/1152921504606846976) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 734987459186865/144115188075855872) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (neg.f64 (.f64 eps (sin.f64 x))) (if (<=.f64 eps 734987459186865/144115188075855872) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 734987459186865/144115188075855872) (+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 1/24 (pow.f64 eps 4))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5319393762672285/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5319393762672285/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (neg.f64 (.f64 eps (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -7269215601948759/5192296858534827628530496329220096) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5319393762672285/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (.f64 eps (neg.f64 x)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -760928193040519/4611686018427387904) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -4453275661289419/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (.f64 (.f64 eps eps) -1/2) (if (<=.f64 eps 4505023464460713/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (.f64 x (neg.f64 eps)) (if (<=.f64 eps 5902958103587057/36893488147419103232) (.f64 (*.f64 eps eps) -1/2) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (.f64 eps (neg.f64 x)) (.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (not (<=.f64 eps 2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384))) (.f64 (.f64 eps eps) -1/2) (*.f64 eps (neg.f64 x)))
(if (or (<=.f64 eps -2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (not (<=.f64 eps 2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384))) (.f64 (.f64 eps eps) -1/2) (*.f64 x (neg.f64 eps)))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(-.f64 1 1)
0

Compiler

Compiled 299 to 206 computations (31.1% saved)

soundness378.0ms (2.5%)

Algorithm

4×	egg-herbie

Rules

1524×	`associate-/r*`
1428×	`associate-/l/`
1410×	`associate-r`
1258×	`+-commutative`
1168×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	10579
1	1344	10067
2	7195	10067
0	602	11624
1	1623	11110
0	863	22617
1	2569	21933
0	403	9621
1	1140	9005
2	4660	8997

Stop Event

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

Compiler

Compiled 728 to 270 computations (62.9% saved)

end129.0ms (0.8%)

Compiler: Compiled 277 to 154 computations (44.4% 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