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)

sample3.9s (19.7%)

Results

1.7s	2072×	body	2048	valid
1.7s	3969×	body	1024	valid
352.0ms	1396×	body	512	valid
112.0ms	816×	body	256	valid
4.0ms	3×	body	4096	valid

Bogosity

preprocess15.0ms (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)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

38.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	0.9b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.0b	(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))

rewrite85.0ms (0.4%)

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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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)))))))

simplify131.0ms (0.7%)

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)

eval76.0ms (0.4%)

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

prune78.0ms (0.4%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	269	37	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	269	38	307

Error

0.2b

Counts

307 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
	49.0b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
▶	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
▶	38.3b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	39.4b	(/.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))))
	38.3b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 eps (+.f64 x x)))))) -1)
	38.1b	(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	38.1b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	54.4b	(-.f64 (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (cos.f64 x))
	39.0b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	39.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	38.8b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	35.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	38.1b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	38.1b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.0b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
	39.8b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x))))
	38.4b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x))))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	54.8b	(-.f64 (cos.f64 x) (cos.f64 x))
	37.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	37.8b	(-.f64 (cos.f64 eps) 1)
	6.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	24.9b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	38.8b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	38.3b	(*.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))))
	31.9b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	36.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	13.2b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	38.2b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	38.1b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	54.5b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	55.0b	(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))

Compiler

Compiled 1053 to 680 computations (35.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 40 to 17 computations (57.5% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite89.0ms (0.4%)

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	73
1	309	69
2	3873	69

Stop Event

1×	node limit

Counts

3 → 211

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))

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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Outputs

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

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

942×	`+-commutative`
864×	`associate-r`
842×	`associate-/l*`
734×	`associate-l`
534×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	11377
1	1509	10881
2	7060	10863

Stop Event

1×	node limit

Counts

271 → 360

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)))
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(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)))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(-.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)

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	0.9b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	2.0b	(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)))

rewrite111.0ms (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

((#(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 (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 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (*.f64 (neg.f64 (cos.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (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))))))) 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simplify160.0ms (0.8%)

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)
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(.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))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2))) (.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 1 (-.f64 (cos.f64 eps) 1))
(/.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 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) x)))
(+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (*.f64 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) x))
(+.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 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) x))) (neg.f64 (.f64 (.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 (*.f64 (cos.f64 eps) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(+.f64 (.f64 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) x) (-.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (.f64 x (*.f64 x (-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))))
(+.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 (+.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (/.f64 (sin.f64 eps) (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) x))) (.f64 -1 (+.f64 (.f64 (pow.f64 x 3) (+.f64 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 (.f64 (cos.f64 eps) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (/.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) (fma.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (sin.f64 eps)))))) (.f64 (.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 (*.f64 (cos.f64 eps) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))))
(+.f64 (.f64 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) x) (fma.f64 -1 (fma.f64 (pow.f64 x 3) (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (fma.f64 1/6 (/.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (.f64 (/.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (sin.f64 eps)))) (.f64 x (*.f64 x (-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (/.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(/.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 x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 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 x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 -1 (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 eps (sin.f64 x))))
(fma.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 -1 (.f64 eps (+.f64 (/.f64 1/6 (sin.f64 x)) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (/.f64 (.f64 1/2 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (.f64 eps (sin.f64 x))))
(fma.f64 (neg.f64 eps) (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)) (/.f64 1/6 (sin.f64 x))) (fma.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.f64 (+.f64 (.f64 -1 (.f64 eps (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)))))) (+.f64 (.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (/.f64 1 (sin.f64 x))) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (sin.f64 x))))))))) (/.f64 1 (.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 -1 (.f64 eps (+.f64 (/.f64 1/6 (sin.f64 x)) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))) (fma.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 (.f64 eps eps) (fma.f64 1/24 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 -1/12 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (.f64 -1/2 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 (/.f64 1/6 (sin.f64 x)) (.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3))))))))))))) (/.f64 1 (*.f64 eps (sin.f64 x))))
(fma.f64 (neg.f64 eps) (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)) (/.f64 1/6 (sin.f64 x))) (+.f64 (.f64 (+.f64 (/.f64 (.f64 -1/2 (cos.f64 x)) (/.f64 (sin.f64 x) (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 3)) (/.f64 1/6 (sin.f64 x))))) (.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) -1/24)) (.f64 (neg.f64 eps) eps)) (fma.f64 1/2 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (*.f64 eps (sin.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 x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(/.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 -1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) -2)) (/.f64 -1 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps 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 eps x)) (cos.f64 x)) -2)) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps 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 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) -2)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2))))
(*.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 (cos.f64 x) (cos.f64 (+.f64 eps x))) (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 -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 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (/.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(.f64 (/.f64 -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 -1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 eps (+.f64 x x)))))))
(/.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(.f64 (/.f64 (+.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 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)))
(.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)))))
(/.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))) (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))
(/.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)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
✓	0.0b	(sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x))))
✓	0.3b	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
✓	1.9b	(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))

Compiler

Compiled 81 to 43 computations (46.9% saved)

series6.0ms (0%)

Counts

4 → 80

Calls

24 calls:

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

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-*r/`
710×	`associate-*l/`
396×	`add-sqr-sqrt`
382×	`*-un-lft-identity`
380×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	398	62
2	5091	62

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

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

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1622×	`distribute-lft-in`
1550×	`distribute-rgt-in`
818×	`associate-/l*`
698×	`associate-+r+`
602×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	6176
1	820	5360
2	3289	5356

Stop Event

1×	node limit

Counts

200 → 211

Calls

Call 1

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

Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x))))
(fma.f64 (cos.f64 (.f64 1/2 eps)) x (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 3) -1/6))))
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 -1/8 (.f64 eps (.f64 eps (sin.f64 x))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (fma.f64 1/2 eps (.f64 -1/48 (pow.f64 eps 3))))))
(fma.f64 -1/8 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (.f64 1/2 eps)))))
(.f64 1/2 (.f64 eps (sin.f64 x)))
(.f64 (.f64 1/2 eps) (sin.f64 x))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 1/2 (.f64 eps (sin.f64 x))))
(fma.f64 1/2 (.f64 eps (sin.f64 x)) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) 1/4)))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (.f64 1/2 eps) (sin.f64 x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 1/2 (.f64 eps (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (.f64 (*.f64 1/2 eps) (sin.f64 x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 1/2 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 1/2 (.f64 eps (sin.f64 x))))))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (.f64 eps (sin.f64 x)) (.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 4))))))
(fma.f64 1/4 (.f64 eps (.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12) (fma.f64 1/2 (.f64 eps (sin.f64 x)) (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/48)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fma.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -1/2 (.f64 (.f64 x x) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 (.f64 x x) -1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (.f64 x x) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))) (fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 (.f64 x x) -1/2))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 1/2 eps)
(+.f64 (.f64 -1/48 (pow.f64 eps 3)) (.f64 1/2 eps))
(fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps))
(fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3)))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3))))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (+.f64 (.f64 -1/645120 (pow.f64 eps 7)) (.f64 1/2 eps))))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 1/2 eps))))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/2 eps (*.f64 -1/645120 (pow.f64 eps 7)))))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(sin.f64 (*.f64 1/2 eps))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 eps (sin.f64 x)) (.f64 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12)) -2)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (sin.f64 x) -1/12) (.f64 (pow.f64 eps 3) -2)) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 eps (sin.f64 x)) (.f64 (.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) -2))))
(+.f64 (-.f64 (.f64 (.f64 (sin.f64 x) -1/12) (.f64 (pow.f64 eps 3) -2)) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (.f64 (pow.f64 eps 4) 1/24) (.f64 -1/2 (.f64 eps eps)))))
(+.f64 (.f64 (.f64 (sin.f64 x) -1/12) (.f64 (pow.f64 eps 3) -2)) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 (pow.f64 eps 4) 1/24))) (.f64 eps (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))) -2)
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 (fma.f64 2 x eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
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(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (.f64 1/2 eps)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (cbrt.f64 2) (.f64 (sin.f64 (.f64 1/2 eps)) (cbrt.f64 (sin.f64 (.f64 1/2 eps))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 4))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) 1/2) (+.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (-.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps)))) 1/2))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (+.f64 1 (cos.f64 eps))) 1/2)
(.f64 (/.f64 1/2 (+.f64 1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) 3)) 1/2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (-.f64 eps eps)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))) (.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) 3)) (/.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps eps))) (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps)))))) 1/2))
(/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 eps) 3))) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(*.f64 (/.f64 1/2 (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) 1))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)))
(sin.f64 (*.f64 1/2 eps))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)
(sin.f64 (*.f64 1/2 eps))
(.f64 (sin.f64 (.f64 1/2 eps)) 1)
(sin.f64 (*.f64 1/2 eps))
(.f64 1 (sin.f64 (.f64 1/2 eps)))
(sin.f64 (*.f64 1/2 eps))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(sin.f64 (*.f64 1/2 eps))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps)))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (cbrt.f64 2) (cbrt.f64 (sin.f64 (.f64 1/2 eps)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 1) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (cbrt.f64 (sin.f64 (.f64 1/2 eps)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (cbrt.f64 2) (cbrt.f64 (sin.f64 (.f64 1/2 eps)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) 1) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)
(sin.f64 (*.f64 1/2 eps))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(sin.f64 (*.f64 1/2 eps))
(fabs.f64 (sin.f64 (*.f64 1/2 eps)))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))
(sin.f64 (*.f64 1/2 eps))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(sin.f64 (*.f64 1/2 eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 1))
(sin.f64 (*.f64 1/2 eps))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 eps))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))))
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))) -1)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 -2 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 1 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))))) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 1 (.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))) -2)) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) -2) (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (sqrt.f64 2) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
(/.f64 (sin.f64 (*.f64 1/2 eps)) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(/.f64 (.f64 (.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2))) (cbrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) (cbrt.f64 2))
(/.f64 (.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))))
(/.f64 -2 (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 eps)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))
(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) -2)
(/.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) -2) 1) (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (sqrt.f64 2) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
(/.f64 (sin.f64 (*.f64 1/2 eps)) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 eps eps))))) (/.f64 (sqrt.f64 2) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
(/.f64 (sin.f64 (*.f64 1/2 eps)) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) -2))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 eps))) (sqrt.f64 2)) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(/.f64 (.f64 (neg.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2) -2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps))))) 1) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 eps eps))) (cos.f64 (.f64 1/2 (+.f64 eps eps)))) -2) 1) 2)
(neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)) 3)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3) 1/3)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(sqrt.f64 (.f64 4 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 2)))
(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	0.3b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	0.9b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	2.0b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series16.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms	eps	@	inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`associate-*r/`
906×	`associate-*l/`
870×	`distribute-lft-in`
328×	`associate-+l+`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	277	46
2	3617	46

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

simplify198.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-+r-`
738×	`associate-r`
654×	`fma-def`
598×	`associate-l`
536×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	16062
1	1710	15472
2	7077	15472

Stop Event

1×	node limit

Counts

236 → 315

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))
(+.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) -1) x))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x)))
(fma.f64 (+.f64 (.f64 1/3 (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 2/3 (.f64 (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18)))))))) (.f64 x x) (+.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) -1) x)))
(fma.f64 (fma.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))))) (.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))) (.f64 x x) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -1/6 (sin.f64 eps)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (.f64 (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (pow.f64 1 1/3))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (.f64 (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 8)) 1/9) (.f64 (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -1/6 (sin.f64 eps)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (.f64 (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (.f64 (pow.f64 (.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))))
(fma.f64 (fma.f64 -1/3 (.f64 1 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/6 (sin.f64 eps) (.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18))) (.f64 (sin.f64 eps) (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))))))) (fma.f64 -2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18)) (.f64 (sin.f64 eps) (fma.f64 2/3 (.f64 (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))))))) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -2/9 (.f64 (.f64 (sin.f64 eps) (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18))) (.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/6 (sin.f64 eps) (.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18))) (.f64 (sin.f64 eps) (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (.f64 1/3 (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2)) (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 2/3 (.f64 (+.f64 1/2 (-.f64 (.f64 (cos.f64 eps) -1/2) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18)))))))) (.f64 x x) (+.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) -1) x))))
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(.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 x)))
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(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

eval849.0ms (4.3%)

Compiler: Compiled 49421 to 21478 computations (56.5% saved)

prune716.0ms (3.6%)

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	1809	37	1846
Fresh	16	16	32
Picked	1	0	1
Done	2	3	5
Total	1828	56	1884

Error

0.0b

Counts

1884 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	6.8b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
▶	0.3b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
	6.8b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (+.f64 (cos.f64 eps) -1)))
	7.1b	(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 (cos.f64 eps) 2)))))
	6.8b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
✓	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	18.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	37.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	38.0b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
	36.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
	38.3b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x)))))) -1)
	31.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	13.5b	(/.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))))))
	7.0b	(/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
	37.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	37.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	36.4b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	38.7b	(/.f64 1 (-.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 eps (sin.f64 x)))))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.0b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	6.7b	(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	39.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	38.8b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	35.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	29.9b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
▶	6.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	25.3b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	38.1b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.0b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
	39.8b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	38.4b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (cos.f64 x))))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	54.8b	(-.f64 (cos.f64 x) (cos.f64 x))
	37.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.8b	(-.f64 (cos.f64 eps) 1)
	38.8b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	31.7b	(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)
	48.6b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	36.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	48.8b	(.f64 -1/2 (.f64 eps eps))
	38.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))
	32.2b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 3))
	28.9b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (.f64 1/2 eps)))))
	29.9b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (+.f64 (.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
▶	35.3b	(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x)))
▶	34.3b	(.f64 -2 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.0b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	37.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	37.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	37.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1552 to 1122 computations (27.7% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.1b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)))
✓	0.1b	(.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x))
✓	0.2b	(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))

Compiler

Compiled 65 to 36 computations (44.6% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`associate-*l/`
616×	`associate-/l*`
430×	`distribute-rgt-in`
388×	`distribute-lft-in`
378×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	373	99
2	4604	99

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

Inputs

(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))

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

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

Outputs

((#(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 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 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (neg.f64 (/.f64 -1 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 eps 1/2)) (/.f64 -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)) (sqrt.f64 -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 eps) (/.f64 1 (tan.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 -1 (*.f64 -1 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 1 (*.f64 -1 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (*.f64 -1 (cos.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (*.f64 -1 (/.f64 -1 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (*.f64 1 (/.f64 -1 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (*.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (*.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 eps)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 1 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 -1 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))) (/.f64 -1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 eps 1/2)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) (/.f64 (/.f64 -1 (sin.f64 eps)) (sqrt.f64 (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) (/.f64 -1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 -1 (*.f64 (sqrt.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (neg.f64 (sqrt.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (/.f64 -1 (sqrt.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 -1 (*.f64 (cbrt.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (/.f64 -1 (tan.f64 (*.f64 eps 1/2))) (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> 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simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-/l*`
1304×	`associate-r`
1152×	`associate-/r*`
894×	`associate-l`
830×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	706	16541
1	1978	15237

Stop Event

1×	node limit

Counts

337 → 449

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

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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))))
(-.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 (-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (pow.f64 eps 4) (.f64 (cos.f64 x) -1/24))) (.f64 (pow.f64 eps 6) (*.f64 (cos.f64 x) 1/720)))
(+.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 (-.f64 (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x)))) (.f64 (pow.f64 eps 6) (.f64 (cos.f64 x) 1/720))) (.f64 (pow.f64 eps 8) (fma.f64 1/2880 (cos.f64 x) (.f64 (cos.f64 x) -1/2688)))) (.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) -1/24)))
(.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.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 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
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(log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 0 (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 1 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1)) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) 1) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) 1)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 1 (.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))))) 1)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) 1)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))) 1)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (-.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2) (.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (tan.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) 1) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2)) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (-.f64 (pow.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) 2) (.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (tan.f64 (.f64 eps 1/2))) (.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (sin.f64 x) (.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) (-.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))) 3)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3) 1/3)
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))))) 1))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 22 computations (60% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x))
0.0ms	x	@	inf	(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x)))
0.0ms	x	@	0	(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x)))
0.0ms	x	@	0	(.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x))
0.0ms	eps	@	inf	(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 x)))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`associate-*r/`
762×	`associate-*l/`
552×	`distribute-rgt-in`
512×	`distribute-lft-in`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	319	48
2	4049	48

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1514×	`fma-def`
938×	`*-commutative`
896×	`+-commutative`
748×	`associate-/r*`
728×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	4538
1	667	4456
2	2059	4222
3	6359	4222

Stop Event

1×	node limit

Counts

116 → 172

Calls

Call 1

Inputs
(.f64 1/2 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/645120 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) x)
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) x) (.f64 -1/6 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) x) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) x) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/5040 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 7))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 1/322560 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/1920 (.f64 (pow.f64 eps 5) (sin.f64 x))))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (.f64 -1/60 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 1/2520 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 7))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) x)))))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0))) (.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)) (sin.f64 x)) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) 2) (/.f64 (cos.f64 (fma.f64 1/2 eps x)) 2))
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 1/2 eps (neg.f64 x)) (fma.f64 1/2 eps x)) 2)) (sin.f64 (/.f64 (+.f64 (fma.f64 1/2 eps (neg.f64 x)) (fma.f64 1/2 eps x)) 2)))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))))
(/.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) 2)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))))
(/.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps (neg.f64 x)))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (fma.f64 1/2 eps x)))) (*.f64 2 (+.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (fma.f64 1/2 eps x)) 3)) (.f64 2 (+.f64 (+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps (neg.f64 x)))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (fma.f64 1/2 eps x)))) (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps x))) 2)
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) -2)
(/.f64 (.f64 1 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps x)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) 1) 2)
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) 1) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps x))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (sqrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps (neg.f64 x)))) (*.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (fma.f64 1/2 eps x)))) 1/2) (+.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) 3) (pow.f64 (cos.f64 (fma.f64 1/2 eps x)) 3)) 1/2) (+.f64 (+.f64 (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps (neg.f64 x)))) (.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (fma.f64 1/2 eps x)))) (.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))))
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (.f64 1/2 eps)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))))
(+.f64 (.f64 (.f64 -2 (sin.f64 x)) (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0))) (.f64 (.f64 -2 (sin.f64 x)) (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 0)) (.f64 -2 (sin.f64 x))) (.f64 (.f64 (cos.f64 (.f64 1/2 eps)) (sin.f64 0)) (.f64 -2 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))) 1)
(/.f64 -2 (/.f64 2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))))
(/.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) -1)
(/.f64 (*.f64 -2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) -2) 2)
(/.f64 (*.f64 -2 (neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) -2)
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps x)))) 2)
(/.f64 (.f64 1 (.f64 -2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) 2)
(/.f64 (.f64 1 (.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) -2)) 2)
(/.f64 (.f64 (.f64 -2 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x)))) (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 -2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) -2) -2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 x (.f64 1/2 eps))) (cos.f64 (fma.f64 1/2 eps x))) -2) 2)
(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) 1) 2)
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) -2) 1) 2)
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))) -2)) (sqrt.f64 2))
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 1)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))

Outputs
(.f64 1/2 (.f64 eps (sin.f64 x)))
(.f64 eps (.f64 1/2 (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 1/2 eps))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))
(fma.f64 -1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 1/2 (*.f64 eps (sin.f64 x))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (*.f64 -1/48 (pow.f64 eps 3))))
(.f64 (sin.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (.f64 1/2 eps)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x)))))
(fma.f64 -1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 1/3840 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 1/2 (.f64 eps (sin.f64 x)))))
(fma.f64 -1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (.f64 1/3840 (pow.f64 eps 5)))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/3840 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/645120 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 1/2 (.f64 eps (sin.f64 x))))))
(fma.f64 -1/48 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/645120 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 1/3840 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 1/2 (*.f64 eps (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/645120 (pow.f64 eps 7)) (.f64 1/3840 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (.f64 1/2 eps) (.f64 -1/48 (pow.f64 eps 3)))))
(.f64 (sin.f64 x) (+.f64 (fma.f64 -1/645120 (pow.f64 eps 7) (.f64 1/3840 (pow.f64 eps 5))) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps))))
(.f64 (sin.f64 x) (+.f64 (fma.f64 -1/48 (pow.f64 eps 3) (.f64 1/2 eps)) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 1/3840 (pow.f64 eps 5)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))
(.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) x)
(.f64 x (sin.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) x) (.f64 -1/6 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))
(fma.f64 (sin.f64 (.f64 1/2 eps)) x (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3))))
(fma.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 x (sin.f64 (.f64 1/2 eps))))
(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) x) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 (sin.f64 (.f64 1/2 eps)) x (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 3)))))
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(/.f64 (.f64 (.f64 -2 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) 1) 2)
(neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))
(neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) x)) (cos.f64 (fma.f64 1/2 eps x))))
(-.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (-.f64 (*.f64 1/2 eps) x)))
(/.f64 (.f64 (.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))) -2) 1) 2)
(neg.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x))))
(neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) x)) (cos.f64 (fma.f64 1/2 eps x))))
(-.f64 (cos.f64 (fma.f64 1/2 eps x)) (cos.f64 (-.f64 (*.f64 1/2 eps) x)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 x))) -2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (fma.f64 1/2 eps (neg.f64 x))) (cos.f64 (fma.f64 1/2 eps x)))) (/.f64 (sqrt.f64 2) (.f64 -2 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (fma.f64 1/2 eps x)))) (sqrt.f64 2)) (.f64 -2 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))))))
(.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) x)) (cos.f64 (fma.f64 1/2 eps x)))) (/.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 1/2 eps)))) (/.f64 (sqrt.f64 2) -2)))
(pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 1)
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(pow.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3) 1/3)
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(sqrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)) 2) 4))
(sqrt.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) 2) 4))
(fabs.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 (*.f64 1/2 eps))) -2))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)) 3))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(exp.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 x) -2))) 1))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
(.f64 (sin.f64 x) (.f64 (sin.f64 (*.f64 1/2 eps)) -2))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 (*.f64 1/2 eps))
✓	0.0b	(.f64 -2 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
✓	0.4b	(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
✓	8.6b	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series3.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
0.0ms	eps	@	-inf	(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
0.0ms	eps	@	inf	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
0.0ms	eps	@	0	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
0.0ms	eps	@	-inf	(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
216×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	241	68
2	2613	68

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(.f64 -2 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(sin.f64 (*.f64 1/2 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sqrt.f64 (sin.f64 (.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 eps))) (cos.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (sin.f64 (.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (sin.f64 (.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) 4) (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 4) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -2) (sin.f64 (.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sqrt.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))))

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

990×	`distribute-lft-in`
982×	`distribute-rgt-in`
906×	`fma-def`
804×	`*-commutative`
764×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	2607
1	505	2553
2	2068	2533
3	7311	2533

Stop Event

1×	node limit

Counts

117 → 157

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 1/16 (pow.f64 eps 4))
(+.f64 (.f64 -1/96 (pow.f64 eps 6)) (.f64 1/16 (pow.f64 eps 4)))
(+.f64 (.f64 1/1280 (pow.f64 eps 8)) (+.f64 (.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(+.f64 (.f64 1/1280 (pow.f64 eps 8)) (+.f64 (.f64 -1/96 (pow.f64 eps 6)) (+.f64 (.f64 -17/483840 (pow.f64 eps 10)) (.f64 1/16 (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 (.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 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(*.f64 1/2 eps)
(+.f64 (.f64 -1/48 (pow.f64 eps 3)) (.f64 1/2 eps))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (+.f64 (.f64 -1/645120 (pow.f64 eps 7)) (.f64 1/2 eps))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 1)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sqrt.f64 (sin.f64 (.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(.f64 (pow.f64 1 1/2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/2))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 eps))) (cos.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 eps)))) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3)
(fabs.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 eps)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1/2))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 1)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))
(.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (sin.f64 (*.f64 1/2 eps)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) 4) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))) 1)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 1)
(pow.f64 (.f64 (sqrt.f64 -2) (sin.f64 (.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3) 1/3)
(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)
(.f64 1 (sin.f64 (.f64 1/2 eps)))
(.f64 (sin.f64 (.f64 1/2 eps)) 1)
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/4)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fabs.f64 (sin.f64 (*.f64 1/2 eps)))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))

Outputs
(*.f64 1/4 (pow.f64 eps 2))
(.f64 1/4 (.f64 eps eps))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (.f64 -1/48 (pow.f64 eps 4)))
(fma.f64 1/4 (.f64 eps eps) (.f64 -1/48 (pow.f64 eps 4)))
(fma.f64 -1/48 (pow.f64 eps 4) (.f64 1/4 (.f64 eps eps)))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(fma.f64 1/4 (.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (.f64 1/4 (pow.f64 eps 2)) (+.f64 (.f64 -1/48 (pow.f64 eps 4)) (+.f64 (.f64 -1/80640 (pow.f64 eps 8)) (.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 -1/80640 (pow.f64 eps 8) (.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (.f64 -1/80640 (pow.f64 eps 8)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(*.f64 1/16 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 1/16)
(+.f64 (.f64 -1/96 (pow.f64 eps 6)) (.f64 1/16 (pow.f64 eps 4)))
(fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16))
(fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96))
(+.f64 (.f64 1/1280 (pow.f64 eps 8)) (+.f64 (.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16)))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96)))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (*.f64 (pow.f64 eps 8) 1/1280)))
(+.f64 (.f64 1/1280 (pow.f64 eps 8)) (+.f64 (.f64 -1/96 (pow.f64 eps 6)) (+.f64 (.f64 -17/483840 (pow.f64 eps 10)) (.f64 1/16 (pow.f64 eps 4)))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 -17/483840 (pow.f64 eps 10)))))
(*.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 (.f64 eps eps) -1/2 (.f64 (pow.f64 eps 4) 1/24))
(fma.f64 (pow.f64 eps 4) 1/24 (.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)))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (.f64 eps eps) -1/2 (.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 eps (.f64 eps -1/2) (fma.f64 (pow.f64 eps 4) 1/24 (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (.f64 eps eps) -1/2 (fma.f64 (pow.f64 eps 8) 1/40320 (.f64 (pow.f64 eps 6) -1/720))))
(fma.f64 eps (.f64 eps -1/2) (fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (pow.f64 eps 6) -1/720 (.f64 (pow.f64 eps 8) 1/40320))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(*.f64 1/2 eps)
(*.f64 eps 1/2)
(+.f64 (.f64 -1/48 (pow.f64 eps 3)) (.f64 1/2 eps))
(fma.f64 -1/48 (pow.f64 eps 3) (*.f64 eps 1/2))
(fma.f64 eps 1/2 (*.f64 -1/48 (pow.f64 eps 3)))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 eps 1/2)))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 eps 1/2 (*.f64 -1/48 (pow.f64 eps 3))))
(fma.f64 eps 1/2 (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/3840 (pow.f64 eps 5))))
(+.f64 (.f64 1/3840 (pow.f64 eps 5)) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (+.f64 (.f64 -1/645120 (pow.f64 eps 7)) (.f64 1/2 eps))))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 eps 1/2))))
(fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 eps 1/2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (*.f64 1/2 eps)))))
(+.f64 1/2 (.f64 -1/2 (cos.f64 (.f64 eps 1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 eps)))
(fma.f64 -1/2 (cos.f64 eps) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) 1)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 8))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sqrt.f64 (sin.f64 (.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (pow.f64 1 1/2) (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 8))))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 1/2 eps) (.f64 1/2 eps))) (cos.f64 (+.f64 (.f64 1/2 eps) (.f64 1/2 eps)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) 2)
(-.f64 1/2 (/.f64 (cos.f64 eps) 2))
(+.f64 1/2 (/.f64 (cos.f64 eps) -2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(fabs.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 1/2 eps)))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1/2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4) 1)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 1 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 8)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 8)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 4))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 8))
(.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 3) (sin.f64 (*.f64 1/2 eps)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) 4))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 8))
(.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) 4) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 3))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)) 1))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 4)
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))) 1)
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 1)
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(pow.f64 (.f64 (sqrt.f64 -2) (sin.f64 (.f64 1/2 eps))) 2)
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)) 3)
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(pow.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3) 1/3)
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2))))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) 3))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(exp.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2)))
(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)
(sin.f64 (*.f64 eps 1/2))
(.f64 1 (sin.f64 (.f64 1/2 eps)))
(sin.f64 (*.f64 eps 1/2))
(.f64 (sin.f64 (.f64 1/2 eps)) 1)
(sin.f64 (*.f64 eps 1/2))
(.f64 (sqrt.f64 (sin.f64 (.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))
(.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))
(sin.f64 (*.f64 eps 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 4))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/4)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 4) 1/4)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)
(sin.f64 (*.f64 eps 1/2))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)
(sin.f64 (*.f64 eps 1/2))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)
(sin.f64 (*.f64 eps 1/2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)
(sin.f64 (*.f64 eps 1/2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)
(sin.f64 (*.f64 eps 1/2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(sin.f64 (*.f64 eps 1/2))
(fabs.f64 (sin.f64 (*.f64 1/2 eps)))
(sin.f64 (*.f64 eps 1/2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))
(sin.f64 (*.f64 eps 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))
(sin.f64 (*.f64 eps 1/2))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 1/2 eps))) 1))
(sin.f64 (*.f64 eps 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 eps 1/2))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
✓	0.1b	(*.f64 (sin.f64 eps) (sin.f64 x))
	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite161.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1324×	`associate-*l/`
500×	`associate-+l+`
336×	`add-sqr-sqrt`
330×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	313	56
2	4291	40

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

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

Outputs

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

simplify204.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1516×	`+-commutative`
1406×	`fma-def`
1288×	`associate-+l-`
1098×	`associate-+r-`
796×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	19184
1	1740	16972
2	6199	16972

Stop Event

1×	node limit

Counts

278 → 351

Calls

Call 1

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

Outputs
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))
(.f64 (sin.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 eps (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (sin.f64 x))) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/5040 (.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 eps 5)) (.f64 -1/6 (.f64 (sin.f64 x) (pow.f64 eps 3))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5)))) (.f64 (sin.f64 x) (+.f64 eps (*.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.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 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (sin.f64 eps) (pow.f64 x 7)) (.f64 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 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 x (.f64 -1/5040 (pow.f64 x 7)))) (.f64 (sin.f64 eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (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 (.f64 -1/2 (+.f64 (cos.f64 eps) -1)) (.f64 x x))) 1))
(+.f64 (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 -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 (.f64 -1/2 (+.f64 (cos.f64 eps) -1)) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (pow.f64 x 3) 1/6) (neg.f64 x))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (*.f64 x x) -1/2)) 1)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 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)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 (.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (neg.f64 eps))))
(+.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 (.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps)))))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
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eval564.0ms (2.9%)

Compiler: Compiled 36133 to 16775 computations (53.6% saved)

prune660.0ms (3.3%)

Pruning

73 alts after pruning (68 fresh and 5 done)

	Pruned	Kept	Total
New	1432	32	1464
Fresh	12	36	48
Picked	0	1	1
Done	3	4	7
Total	1447	73	1520

Error

0.0b

Counts

1520 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	6.8b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.1b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
	0.3b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 eps 1/2)))) (cos.f64 x)))
✓	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	18.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	6.8b	(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps)))))
	46.7b	(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
	37.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	38.0b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
	35.7b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
	36.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
	23.6b	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
	38.3b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x)))))) -1)
	31.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	13.5b	(/.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))))))
	7.0b	(/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
	37.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	37.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	36.4b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	38.7b	(/.f64 1 (-.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 eps (sin.f64 x)))))
▶	6.8b	(-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (sin.f64 x)))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.0b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	6.7b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
	39.6b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	38.8b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	35.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	54.9b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
▶	0.3b	(-.f64 (.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
▶	29.9b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	6.8b	(-.f64 (.f64 (cos.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	6.9b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (sin.f64 x)))
	32.0b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2))
	7.3b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 3))
✓	6.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
▶	35.2b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	27.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	29.9b	(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
	25.3b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	38.1b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.0b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	19.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	39.8b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	38.4b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	37.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.8b	(-.f64 (cos.f64 eps) 1)
	38.8b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
	31.7b	(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
	48.6b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	51.2b	(.f64 (.f64 x (sin.f64 (*.f64 1/2 eps))) -2)
	35.3b	(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
	36.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	48.8b	(.f64 eps (.f64 eps -1/2))
	38.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))
	32.2b	(.f64 -2 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 1/2 eps))) 2) 3))
	35.7b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) 3))
	48.8b	(.f64 -2 (.f64 1/4 (*.f64 eps eps)))
✓	34.3b	(.f64 -2 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	46.9b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)))))
	48.9b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)) 3)))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.0b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)))
	28.9b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) x)))
	0.3b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 x) (cos.f64 (.f64 eps 1/2)))))))
	37.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	37.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	44.8b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))
	35.7b	(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
	37.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 2070 to 1507 computations (27.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
	0.1b	(*.f64 (sin.f64 eps) (sin.f64 x))
	0.1b	(.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x))
	0.2b	(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))

Compiler

Compiled 67 to 36 computations (46.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`distribute-lft-in`
774×	`associate-/l*`
532×	`associate-/r*`
452×	`associate-+l+`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	377	55
2	4957	47

Stop Event

1×	node limit

Counts

1 → 169

Calls

Call 1

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

Outputs

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

simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`+-commutative`
1046×	`fma-def`
974×	`associate-+l-`
750×	`associate-r`
650×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	18343
1	1238	16199
2	5862	16199

Stop Event

1×	node limit

Counts

193 → 283

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 eps (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 1/6 (.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))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (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 eps (sin.f64 x))))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 eps (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (.f64 -1/24 (pow.f64 eps 4)))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (.f64 eps (neg.f64 (sin.f64 x))))) (.f64 (cos.f64 x) (.f64 -1/24 (pow.f64 eps 4))))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
(neg.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps))))
(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps)))) (.f64 -1 (.f64 x (sin.f64 eps))))
(fma.f64 -1 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps))) (neg.f64 (*.f64 x (sin.f64 eps))))
(-.f64 (/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps))) (*.f64 x (sin.f64 eps)))
(+.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 (*.f64 x (sin.f64 eps)))))
(fma.f64 -1 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps))) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 eps)))))
(-.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 x (neg.f64 (sin.f64 eps)))) (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (sin.f64 eps)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 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 (*.f64 x (sin.f64 eps))))))
(fma.f64 -1 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (sin.f64 eps))) (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (.f64 x x)))) (neg.f64 (.f64 x (sin.f64 eps))))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (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 x (neg.f64 (sin.f64 eps))))) (.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (.f64 eps 1/2))) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (.f64 1/2 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps))))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 (.f64 eps 1/2)) (.f64 (sin.f64 (.f64 eps 1/2)) (sin.f64 eps)))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(+.f64 (.f64 2 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(.f64 (sin.f64 eps) (+.f64 (.f64 2 (sin.f64 x)) (fma.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)) (sin.f64 x))))
(.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (*.f64 2 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (+.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 2 (.f64 2 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(fma.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (.f64 4 (*.f64 (sin.f64 x) (sin.f64 eps))))
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(/.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2))))) 2) (.f64 (+.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))))) (-.f64 (sqrt.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2))))) (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (pow.f64 (.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x))) 2) (.f64 (+.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (sqrt.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (.f64 eps 1/2)))))) (-.f64 (sqrt.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (.f64 eps 1/2))))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))
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(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))))
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(/.f64 (.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 (pow.f64 (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2))) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))) (pow.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))))))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 (pow.f64 (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2))) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))) (pow.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))))))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 3) (-.f64 (pow.f64 (.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2))) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 eps) (.f64 (sin.f64 x) (.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))) (pow.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (*.f64 eps 1/2)))) 2)))
(pow.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) 1)
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) 3) 1/3)
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))) 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 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) 3))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) 1))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 eps) (tan.f64 (.f64 eps 1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 (sin.f64 eps) (tan.f64 (.f64 eps 1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 1 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 2 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(.f64 (sin.f64 eps) (+.f64 (.f64 2 (sin.f64 x)) (fma.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)) (sin.f64 x))))
(.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (*.f64 2 (sin.f64 x))))
(fma.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 2 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(.f64 (sin.f64 eps) (+.f64 (.f64 2 (sin.f64 x)) (fma.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)) (sin.f64 x))))
(.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (*.f64 2 (sin.f64 x))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))) (sqrt.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.f64 (sin.f64 eps) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
(+.f64 (.f64 2 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2))))))
(.f64 (sin.f64 eps) (+.f64 (.f64 2 (sin.f64 x)) (fma.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)) (sin.f64 x))))
(.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)) (*.f64 2 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (tan.f64 (*.f64 eps 1/2)))))
(.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 8 computations (33.3% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.0b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
✓	0.1b	(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
✓	0.1b	(*.f64 eps (sin.f64 x))

Compiler

Compiled 41 to 16 computations (61% saved)

series5.0ms (0%)

Counts

3 → 52

Calls

18 calls:

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

rewrite147.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`distribute-rgt-in`
718×	`distribute-lft-in`
546×	`associate-*r/`
436×	`associate-*l/`
360×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	279	67
2	3681	67

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

Outputs

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

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

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

simplify243.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1640×	`associate-+r+`
1348×	`fma-def`
1104×	`+-commutative`
896×	`associate-r`
790×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	17128
1	1702	15442
2	7674	15442

Stop Event

1×	node limit

Counts

272 → 329

Calls

Call 1

Inputs
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -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 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))) 1)
(pow.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))) 1)
(pow.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (cos.f64 x)) (*.f64 eps eps)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2))) 3))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(exp.f64 (log.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 2 (.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 2 (.f64 (*.f64 eps (sin.f64 x)) 0))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (.f64 (.f64 (*.f64 eps (sin.f64 x)) 0) 1)))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2)) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (+.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2)) (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (.f64 (+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0)) 1))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 2 (.f64 (.f64 eps (sin.f64 x)) 0)))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 1))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (.f64 eps (neg.f64 (sin.f64 x))) 1 (*.f64 eps (sin.f64 x))))
(+.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps (sin.f64 x)))) (sqrt.f64 (.f64 eps (sin.f64 x))) (.f64 eps (sin.f64 x))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (neg.f64 (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2)))) 1) (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (neg.f64 (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (.f64 (.f64 eps (sin.f64 x)) 0))) 1) (-.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 (.f64 eps (sin.f64 x)) 0)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (neg.f64 (sin.f64 x))) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 eps (.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) 0) 3)) 1) (+.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2) (.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (-.f64 (.f64 (.f64 eps (sin.f64 x)) 0) (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2))) 1) (.f64 (neg.f64 eps) (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3))) 1) (neg.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))))) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2))) (cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3))) (cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4))) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (pow.f64 (.f64 eps (sin.f64 x)) 2))) (/.f64 1 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) 3)) (/.f64 1 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))) (+.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4))) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (*.f64 eps (sin.f64 x)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3)) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3))) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))))) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))))) (+.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3)) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (sin.f64 x) 3))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) eps) (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) 1) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))))) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))
(pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))
(log.f64 (exp.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(fma.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 1 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) (*.f64 eps (neg.f64 (sin.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2)) (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(fma.f64 (.f64 eps (.f64 eps (cos.f64 x))) -1/2 (*.f64 eps (neg.f64 (sin.f64 x))))

Outputs
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 eps x (.f64 (.f64 -1/6 eps) (pow.f64 x 3)))
(fma.f64 eps x (.f64 (pow.f64 x 3) (.f64 eps -1/6)))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (.f64 (*.f64 -1/6 eps) (pow.f64 x 3))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (.f64 (pow.f64 x 3) (*.f64 eps -1/6))))
(+.f64 (.f64 1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 eps x) (+.f64 (.f64 -1/5040 (.f64 eps (pow.f64 x 7))) (.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/5040 (.f64 eps (pow.f64 x 7)) (.f64 (.f64 -1/6 eps) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/6 (.f64 eps (pow.f64 x 3)) (.f64 (pow.f64 x 7) (.f64 eps -1/5040)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))
(fma.f64 1/4 (.f64 (.f64 (.f64 eps eps) x) x) (.f64 -1/2 (*.f64 eps eps)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x)))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 1/4 (.f64 (.f64 (.f64 eps eps) x) x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/1440 (.f64 (pow.f64 eps 2) (pow.f64 x 6))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/1440 (.f64 (.f64 eps eps) (pow.f64 x 6)) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))))
(fma.f64 -1/48 (.f64 (.f64 eps eps) (pow.f64 x 4)) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/4 (.f64 (.f64 (.f64 eps eps) x) x) (.f64 (pow.f64 x 6) (.f64 (*.f64 eps eps) 1/1440)))))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
(.f64 (.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))
(.f64 (.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))))) (+.f64 (.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3)) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) 3) (pow.f64 (sin.f64 x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) 3)) (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x))))))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 6) (.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) 3) (pow.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) 3)) (.f64 (fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))) (fma.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) 3) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3)) (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 6))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) eps) (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))
(/.f64 (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2))) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) 1) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))
(/.f64 (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2))) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2))) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (neg.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2))) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4))) (pow.f64 (.f64 eps (sin.f64 x)) 2)) (.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 (cos.f64 x) -1/2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2)))))))) (sqrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))) (cbrt.f64 (+.f64 (.f64 (.f64 (pow.f64 (cos.f64 x) 2) 1/4) (pow.f64 eps 4)) (.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) -1/2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 (.f64 1/4 (pow.f64 (cos.f64 x) 2)) (pow.f64 eps 4) (.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 (sin.f64 x) (.f64 eps (.f64 -1/2 (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (.f64 eps (sin.f64 x)) 3)) (fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (sin.f64 x))) (.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 4)))))
(pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 1)
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 2)
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3) 1/3)
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))) 2))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (exp.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 3))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (log.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 1))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) -1/2) (.f64 eps eps) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 1 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2))) (.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 1 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (.f64 (*.f64 eps (sin.f64 x)) 0))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (.f64 eps (sqrt.f64 (.f64 (cos.f64 x) -1/2))) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 2) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (pow.f64 (.f64 eps (sqrt.f64 (.f64 -1/2 (cos.f64 x)))) 2) (*.f64 eps (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) 2) (cbrt.f64 (.f64 eps (.f64 eps (.f64 (cos.f64 x) -1/2)))) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x))) 2)) (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (.f64 (.f64 eps (sin.f64 x)) 0))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x))))) (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))) 2)))
(.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)))
(fma.f64 (.f64 eps (.f64 eps (cos.f64 x))) -1/2 (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
✓	0.1b	(*.f64 (sin.f64 eps) x)
	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite157.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-*r/`
1130×	`associate-*l/`
1074×	`distribute-lft-in`
434×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	287	48
2	3877	48

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

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

Outputs

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1504×	`fma-def`
950×	`associate-+l+`
876×	`associate-+r+`
694×	`+-commutative`
680×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	19916
1	1835	18208

Stop Event

1×	node limit

Counts

280 → 334

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 (cos.f64 eps) -1))
	0.1b	(*.f64 (sin.f64 eps) (sin.f64 x))
✓	0.2b	(/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 53 to 26 computations (50.9% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-*r/`
1058×	`*-commutative`
952×	`associate-*l/`
928×	`associate-/r*`
704×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	249	38
2	3126	38

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-*r/`
1456×	`associate-/l*`
1418×	`associate-*l/`
980×	`associate-/r*`
526×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4789
1	931	4523
2	3412	4521

Stop Event

1×	node limit

Counts

143 → 203

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 -1/720 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))) 1)
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(/.f64 -2 (pow.f64 eps 2))
(neg.f64 (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (.f64 -1/120 (pow.f64 eps 2)) (+.f64 1/6 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 -1/3024 (pow.f64 eps 4)) (.f64 -1/120 (pow.f64 eps 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 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 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (neg.f64 (cos.f64 x)) (.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 eps))) (neg.f64 (cos.f64 x)))
(-.f64 0 (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (neg.f64 (-.f64 1 (cos.f64 eps))))
(.f64 1 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(.f64 -1 (.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(.f64 (sqrt.f64 (cos.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(*.f64 (-.f64 1 (cos.f64 eps)) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (-.f64 1 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (.f64 (cos.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (cos.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (cbrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) 1) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (cos.f64 x)))
(.f64 (/.f64 (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) -1) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 (.f64 (cos.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (-.f64 1 (.f64 (cos.f64 eps) -1)) (-.f64 1 (.f64 (cos.f64 eps) -1))))) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (*.f64 (cos.f64 eps) -1)))
(.f64 (/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (-.f64 1 (.f64 (cos.f64 eps) -1)) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (-.f64 (.f64 (-.f64 1 (.f64 (cos.f64 eps) -1)) (-.f64 1 (.f64 (cos.f64 eps) -1))) (.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(neg.f64 (*.f64 (cos.f64 x) (-.f64 1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (cos.f64 eps)) (.f64 (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 2)) (.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 1 (.f64 (cos.f64 eps) -1))) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 1 (cos.f64 eps)) (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)))
(.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) -1)
(*.f64 (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 1 (cos.f64 eps)))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (neg.f64 (+.f64 1 (cos.f64 eps))))
(.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (+.f64 1 (cos.f64 eps)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1)))
(.f64 (/.f64 (+.f64 1 (cos.f64 eps)) (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 eps)) (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1)) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (sqrt.f64 (+.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (cbrt.f64 (+.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))
(.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (cos.f64 eps) -1)) (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(pow.f64 (+.f64 (cos.f64 eps) -1) -1)
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (/.f64 1 (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 1 (+.f64 (cos.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 eps) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))

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

eval1.1s (5.5%)

Compiler: Compiled 65373 to 29185 computations (55.4% saved)

prune1.2s (5.9%)

Pruning

79 alts after pruning (70 fresh and 9 done)

	Pruned	Kept	Total
New	2132	17	2149
Fresh	10	53	63
Picked	0	1	1
Done	1	8	9
Total	2143	79	2222

Error

Counts

2222 → 79

Alt Table

Click to see full alt table

Status	Error	Program
	6.8b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	30.1b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (cos.f64 x))))
	0.3b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 eps 1/2)))) (cos.f64 x)))
✓	6.7b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	18.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	46.7b	(pow.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 2)
	37.7b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
	38.0b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
	35.7b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))) 3)
	36.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
	30.5b	(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) 3)
	23.6b	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 2)) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
	38.3b	(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x))))) (cos.f64 (.f64 1/2 (+.f64 (-.f64 (+.f64 eps x) x) (+.f64 x (+.f64 eps x)))))) -1)
	31.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	13.5b	(/.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))))))
	7.0b	(/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
	37.5b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	37.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	36.4b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	0.3b	(-.f64 (/.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (.f64 (sin.f64 eps) (cos.f64 x))) -1) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	6.8b	(-.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (sin.f64 x)))
	29.9b	(-.f64 (/.f64 (cos.f64 x) (/.f64 -2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
	27.8b	(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	25.8b	(-.f64 (/.f64 (cos.f64 x) (-.f64 -1/6 (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	24.9b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.0b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	18.6b	(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))
	6.7b	(-.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (cos.f64 x))) (.f64 (sin.f64 eps) (sin.f64 x)))
	35.7b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1))) 1)) (.f64 (sin.f64 eps) x))
	38.8b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	35.2b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	54.9b	(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)
	0.3b	(-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (.f64 eps 1/2)))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
	42.8b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (pow.f64 (sqrt.f64 (.f64 eps (sin.f64 x))) 2))
✓	29.9b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	6.8b	(-.f64 (.f64 (cos.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	6.9b	(-.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (sin.f64 x)))
	7.3b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 3))
✓	6.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	35.2b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) x))
	27.7b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 eps (sin.f64 x)))
	25.3b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
	24.9b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	45.3b	(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x))
	38.1b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.0b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	19.2b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (.f64 (sin.f64 eps) (sin.f64 x)))
	39.8b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	38.4b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	38.1b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	38.2b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	37.5b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	37.8b	(-.f64 (cos.f64 eps) 1)
	38.8b	(+.f64 (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1))
	31.7b	(.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2) -2)
	30.5b	(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (fma.f64 eps (*.f64 -1/2 (cos.f64 x)) (neg.f64 (sin.f64 x)))))
	51.2b	(.f64 (.f64 x (sin.f64 (*.f64 1/2 eps))) -2)
	48.2b	(.f64 (sqrt.f64 eps) (.f64 (-.f64 (.f64 eps (.f64 -1/2 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 eps)))
	35.3b	(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))
	36.2b	(*.f64 (sin.f64 x) (neg.f64 eps))
	51.2b	(*.f64 (sin.f64 eps) (neg.f64 x))
	51.5b	(*.f64 x (neg.f64 eps))
	29.9b	(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
✓	48.8b	(.f64 eps (.f64 eps -1/2))
	38.2b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x)))))))
	35.7b	(.f64 -2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x))) 3))
	48.8b	(.f64 -2 (.f64 1/4 (*.f64 eps eps)))
✓	34.3b	(.f64 -2 (sqrt.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 4)))
	48.9b	(.f64 -2 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 x)) 3)))
	54.0b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	54.0b	(sqrt.f64 (.f64 4 (pow.f64 (sin.f64 (.f64 eps 1/2)) 4)))
	28.9b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) x)))
	0.3b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (sin.f64 (.f64 eps 1/2)) (/.f64 (cos.f64 x) (cos.f64 (.f64 eps 1/2)))))))
	37.9b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	37.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	44.8b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))
	35.7b	(expm1.f64 (log1p.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))
	37.9b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1141 to 828 computations (27.4% saved)

regimes181.0ms (0.9%)

Counts

124 → 1

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
53.0ms	eps
36.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1651 to 718 computations (56.5% saved)

regimes487.0ms (2.5%)

Counts

101 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

262.0ms	eps
165.0ms	x
31.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.4b	3	`x`
0.3b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1205 to 559 computations (53.6% saved)

bsearch86.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.003200544132727089	24.636547405117785
55.0ms	-114.28857627814817	-0.006572574287952389

Results

48.0ms	53×	body	1024	valid
23.0ms	165×	body	256	valid
9.0ms	35×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 694 to 466 computations (32.9% saved)

regimes358.0ms (1.8%)

Counts

96 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

161.0ms	eps
143.0ms	x
26.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.3b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1129 to 544 computations (51.8% saved)

bsearch61.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.003200544132727089	24.636547405117785
30.0ms	-114.28857627814817	-0.006572574287952389

Results

27.0ms	68×	body	1024	valid
22.0ms	164×	body	256	valid
5.0ms	21×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 678 to 466 computations (31.3% saved)

regimes298.0ms (1.5%)

Counts

94 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

122.0ms	eps
115.0ms	x
32.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.3b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1100 to 540 computations (50.9% saved)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.003200544132727089	24.636547405117785
30.0ms	-114.28857627814817	-0.006572574287952389

Results

27.0ms	62×	body	1024	valid
20.0ms	153×	body	256	valid
11.0ms	39×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 678 to 466 computations (31.3% saved)

regimes279.0ms (1.4%)

Counts

93 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

116.0ms	x
111.0ms	eps
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.3b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1086 to 536 computations (50.6% saved)

bsearch58.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.003200544132727089	24.636547405117785
31.0ms	-114.28857627814817	-0.006572574287952389

Results

24.0ms	168×	body	256	valid
21.0ms	58×	body	1024	valid
7.0ms	29×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 670 to 474 computations (29.3% saved)

regimes265.0ms (1.3%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

107.0ms	x
104.0ms	eps
25.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.3b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1073 to 531 computations (50.5% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.003200544132727089	24.636547405117785
28.0ms	-114.28857627814817	-0.006572574287952389

Results

37.0ms	165×	body	256	valid
22.0ms	58×	body	1024	valid
7.0ms	29×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 670 to 474 computations (29.3% saved)

regimes362.0ms (1.8%)

Counts

91 → 3

Calls

Call 1

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

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

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

Calls

3 calls:

155.0ms	eps
132.0ms	x
48.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1060 to 527 computations (50.3% saved)

bsearch62.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.003200544132727089	24.636547405117785
31.0ms	-114.28857627814817	-0.006572574287952389

Results

23.0ms	61×	body	1024	valid
22.0ms	159×	body	256	valid
7.0ms	27×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 670 to 474 computations (29.3% saved)

regimes177.0ms (0.9%)

Counts

82 → 2

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (*.f64 (*.f64 eps eps) -1/120) 1/6) (/.f64 2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

80.0ms	eps
39.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
35.0ms	x

Results

Error	Segments	Branch
13.2b	1	`x`
13.2b	1	`eps`
11.9b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 918 to 464 computations (49.5% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	-0.007687952537500542	-0.0005447323009374339

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes117.0ms (0.6%)

Counts

62 → 2

Calls

Call 1

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

Outputs
(-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (-.f64 -1/6 (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

46.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
28.0ms	eps
26.0ms	x

Results

Error	Segments	Branch
13.2b	1	`x`
13.2b	1	`eps`
12.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 701 to 353 computations (49.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.007687952537500542	-0.0005447323009374339

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes217.0ms (1.1%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	x
69.0ms	eps
29.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
12.3b	3	`x`
12.0b	3	`eps`
13.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 585 to 290 computations (50.4% saved)

bsearch63.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.003200544132727089	24.636547405117785
32.0ms	-114.28857627814817	-0.006572574287952389

Results

26.0ms	69×	body	1024	valid
20.0ms	144×	body	256	valid
8.0ms	34×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 454 to 330 computations (27.3% saved)

regimes254.0ms (1.3%)

Counts

53 → 3

Calls

Call 1

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

Calls

3 calls:

114.0ms	x
63.0ms	eps
28.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
12.9b	3	`x`
12.0b	3	`eps`
13.4b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 542 to 272 computations (49.8% saved)

bsearch105.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.003200544132727089	24.636547405117785
60.0ms	-114.28857627814817	-0.006572574287952389

Results

53.0ms	58×	body	1024	valid
40.0ms	169×	body	256	valid
6.0ms	25×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 438 to 314 computations (28.3% saved)

regimes358.0ms (1.8%)

Counts

46 → 3

Calls

Call 1

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

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:

225.0ms	x
76.0ms	eps
46.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
14.6b	4	`x`
12.3b	3	`eps`
13.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 465 to 248 computations (46.7% saved)

bsearch99.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	0.003200544132727089	24.636547405117785
33.0ms	-114.28857627814817	-0.006572574287952389

Results

41.0ms	27×	body	512	valid
26.0ms	68×	body	1024	valid
22.0ms	156×	body	256	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 398 to 282 computations (29.1% saved)

regimes144.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

76.0ms	x
46.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
14.6b	4	`x`
12.3b	3	`eps`
13.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 238 to 130 computations (45.4% saved)

bsearch63.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.003200544132727089	24.636547405117785
34.0ms	-114.28857627814817	-0.006572574287952389

Results

26.0ms	60×	body	1024	valid
23.0ms	160×	body	256	valid
8.0ms	31×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 366 to 266 computations (27.3% saved)

regimes146.0ms (0.7%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	x
34.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
14.6b	4	`x`
17.9b	3	`eps`
19.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 192 to 108 computations (43.8% saved)

bsearch184.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
62.0ms	5.6641192699443107e-8	0.18812769722660944
59.0ms	4.509350943276214e-113	2.432337087722335e-107
63.0ms	-9.253641508611874e-16	-4.284311583885756e-32

Results

98.0ms	221×	body	1024	valid
34.0ms	110×	body	512	valid
33.0ms	59×	body	2048	valid
9.0ms	58×	body	256	valid

Compiler

Compiled 667 to 552 computations (17.2% saved)

regimes96.0ms (0.5%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
32.0ms	eps
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
15.2b	5	`x`
17.9b	3	`eps`
19.3b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 154 to 93 computations (39.6% saved)

bsearch266.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
70.0ms	5.6641192699443107e-8	0.18812769722660944
63.0ms	5.038265272707567e-64	1.2418639999845616e-53
71.0ms	5.968233218583718e-103	2.785107370459468e-89
62.0ms	-9.253641508611874e-16	-4.284311583885756e-32

Results

152.0ms	323×	body	1024	valid
50.0ms	79×	body	2048	valid
38.0ms	131×	body	512	valid
14.0ms	91×	body	256	valid

Compiler

Compiled 835 to 674 computations (19.3% saved)

regimes88.0ms (0.4%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
27.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.2b	5	`x`
17.9b	3	`eps`
20.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 145 to 87 computations (40% saved)

bsearch238.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	5.6641192699443107e-8	0.18812769722660944
68.0ms	5.038265272707567e-64	1.2418639999845616e-53
62.0ms	5.968233218583718e-103	2.785107370459468e-89
58.0ms	-9.253641508611874e-16	-4.284311583885756e-32

Results

120.0ms	296×	body	1024	valid
58.0ms	89×	body	2048	valid
35.0ms	127×	body	512	valid
15.0ms	112×	body	256	valid

Compiler

Compiled 759 to 598 computations (21.2% saved)

regimes79.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
26.0ms	eps
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
21.6b	5	`x`
18.7b	3	`eps`
20.0b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 129 to 73 computations (43.4% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.003200544132727089	24.636547405117785
28.0ms	-114.28857627814817	-0.006572574287952389

Results

23.0ms	65×	body	1024	valid
23.0ms	161×	body	256	valid
7.0ms	28×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 270 to 202 computations (25.2% saved)

regimes59.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

Calls

2 calls:

35.0ms	x
21.0ms	eps

Results

Error	Segments	Branch
21.6b	5	`x`
19.4b	3	`eps`

Compiler

Compiled 103 to 63 computations (38.8% saved)

bsearch56.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.003200544132727089	24.636547405117785
28.0ms	-114.28857627814817	-0.006572574287952389

Results

24.0ms	63×	body	1024	valid
21.0ms	163×	body	256	valid
7.0ms	30×	body	512	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes30.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
14.0ms	x

Results

Error	Segments	Branch
36.0b	3	`x`
28.1b	3	`eps`

Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	3.433599313557284e-17	0.003200544132727089
32.0ms	-114.28857627814817	-0.006572574287952389

Results

31.0ms	83×	body	1024	valid
22.0ms	165×	body	256	valid
8.0ms	33×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 356 to 262 computations (26.4% saved)

regimes38.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(.f64 -2 (.f64 1/4 (*.f64 eps eps)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x))
(-.f64 (+.f64 1 (.f64 -1/2 (.f64 eps eps))) 1)

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

Calls

2 calls:

32.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
45.3b	1	`x`
45.3b	1	`eps`

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes31.0ms (0.2%)

Accuracy

Total -9.7b remaining (-21.1%)

Threshold costs -9.7b (-21.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
45.9b	3	`x`
46.3b	3	`eps`

Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch131.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	4.509350943276214e-113	2.432337087722335e-107
76.0ms	-2.9397659383483326e-112	-8.55330027086439e-137

Results

61.0ms	149×	body	1024	valid
48.0ms	77×	body	2048	valid
12.0ms	49×	body	512	valid
6.0ms	45×	body	256	valid

Compiler

Compiled 314 to 230 computations (26.8% saved)

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

92×	`+-commutative`
84×	`*-commutative`
50×	`sub-neg`
34×	`cancel-sign-sub-inv`
30×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	180	2264
1	288	2260
2	359	2260
3	392	2260
4	404	2260
5	407	2260
6	408	2260

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (.f64 eps 1/2)))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -8070450532247929/288230376151711744) (-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -7782220156096217/288230376151711744) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -7782220156096217/288230376151711744) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(if (<=.f64 eps -7782220156096217/288230376151711744) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 7349874591868649/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -7782220156096217/288230376151711744) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) (if (<=.f64 eps 7349874591868649/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
(if (<=.f64 eps -7782220156096217/288230376151711744) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7349874591868649/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -5764607523034235/1152921504606846976) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -5764607523034235/1152921504606846976) (-.f64 (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (/.f64 (cos.f64 x) (-.f64 -1/6 (/.f64 2 (.f64 eps eps)))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -734987459186865/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5188146770730811/1152921504606846976) (-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -6052837899185947/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7493989779944505/2305843009213693952) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 eps -1224979098644775/144115188075855872) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3314649325744685/288230376151711744) (-.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 -5476377146882523/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 6052837899185947/576460752303423488) (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 x -7009600759022017/2596148429267413814265248164610048) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 x) -2)) (if (<=.f64 x 4603064921880259/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) (if (<=.f64 x 8070450532247929/4611686018427387904) (-.f64 (+.f64 (cos.f64 eps) -1) (.f64 x (sin.f64 eps))) (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2)))))
(if (<=.f64 x -4683156491691431/22300745198530623141535718272648361505980416) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (sin.f64 x) -2)) (if (<=.f64 x 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (-.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 eps x)) (if (<=.f64 x 5902958103587057/2361183241434822606848) (-.f64 (cos.f64 eps) 1) (.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 (sin.f64 x) -2))))))
(if (<=.f64 x -7399023023412129/1298074214633706907132624082305024) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 x 1863467625491933/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) -2) (if (<=.f64 x 5521397077432451/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 eps x)) (if (<=.f64 x 8613596464754233/151115727451828646838272) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 x) (neg.f64 eps))))))
(if (<=.f64 eps -3804640965202595/576460752303423488) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 7493989779944505/2305843009213693952) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -3804640965202595/576460752303423488) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7493989779944505/2305843009213693952) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -3804640965202595/576460752303423488) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5902958103587057/36893488147419103232) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x))
(if (<=.f64 x -8285961456969919/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 x (neg.f64 eps)) (if (<=.f64 x 231369589076587/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 -1/2 (.f64 eps eps)) (.f64 x (neg.f64 eps))))
(*.f64 x (neg.f64 eps))

Outputs
(-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (.f64 eps 1/2)))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (.f64 (neg.f64 (sin.f64 eps)) (tan.f64 (.f64 eps 1/2))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -8070450532247929/288230376151711744) (-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (-.f64 (.f64 (.f64 eps eps) -1/120) 1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -8070450532247929/288230376151711744) (-.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (-.f64 (+.f64 (.f64 (.f64 eps eps) -1/120) -1/6) (/.f64 2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))))
(if (<=.f64 eps -8070450532247929/288230376151711744) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 7782220156096217/288230376151711744) (-.f64 (/.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 (.f64 eps eps) -1/120) -1/6) (/.f64 -2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))))
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(if (<=.f64 eps -3804640965202595/576460752303423488) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7493989779944505/2305843009213693952) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -3804640965202595/576460752303423488) (not (<=.f64 eps 7493989779944505/2305843009213693952))) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (or (<=.f64 eps -3804640965202595/576460752303423488) (not (<=.f64 eps 7493989779944505/2305843009213693952))) (+.f64 (cos.f64 eps) -1) (*.f64 eps (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -3804640965202595/576460752303423488) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5902958103587057/36893488147419103232) (-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -3804640965202595/576460752303423488) (not (<=.f64 eps 5902958103587057/36893488147419103232))) (+.f64 (cos.f64 eps) -1) (-.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 eps x)))
(-.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps x))
(-.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 eps x))
(if (<=.f64 x -8285961456969919/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (.f64 x (neg.f64 eps)) (if (<=.f64 x 231369589076587/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 -1/2 (.f64 eps eps)) (.f64 x (neg.f64 eps))))
(if (or (<=.f64 x -8285961456969919/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (not (<=.f64 x 231369589076587/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256))) (.f64 x (neg.f64 eps)) (.f64 (*.f64 eps eps) -1/2))
(if (or (<=.f64 x -8285961456969919/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) (not (<=.f64 x 231369589076587/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256))) (.f64 eps (neg.f64 x)) (.f64 (*.f64 eps eps) -1/2))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))

Compiler

Compiled 819 to 507 computations (38.1% saved)

soundness351.0ms (1.8%)

Algorithm

4×	egg-herbie

Rules

1526×	`associate-/l*`
1304×	`associate-r`
1258×	`+-commutative`
1152×	`associate-/r*`
942×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	10579
1	1344	10067
2	7195	10067
0	549	11377
1	1509	10881
2	7060	10863
0	549	11377
1	1509	10881
2	7060	10863
0	706	16541
1	1978	15237

Stop Event

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

Compiler

Compiled 759 to 288 computations (62.1% saved)

end395.0ms (2%)

Compiler: Compiled 777 to 354 computations (54.4% 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