Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.4s (26.5%)

Results

2.1s	3896×	body	1024	valid
1.8s	2165×	body	2048	valid
414.0ms	1409×	body	512	valid
149.0ms	781×	body	256	valid
6.0ms	5×	body	4096	valid

Bogosity

preprocess21.0ms (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)

simplify18.0ms (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

41.4b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 x)
✓	1.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.1b	(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
1.0ms	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))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

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

simplify159.0ms (1%)

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)

eval77.0ms (0.5%)

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

prune105.0ms (0.6%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	264	42	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	264	43	307

Error

0.2b

Counts

307 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 eps)))
▶	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.5b	(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 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))))))
	41.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	23.7b	(-.f64 (/.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)))))) (cos.f64 x))
	23.6b	(-.f64 (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (sin.f64 x))))) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 x))
	23.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
▶	43.0b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	43.0b	(-.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)
	42.4b	(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
	39.1b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	41.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	41.4b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	46.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
▶	41.4b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	49.8b	(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	42.5b	(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (sqrt.f64 (cos.f64 x)) 2))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (cos.f64 x)) 3))
	43.4b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	41.3b	(-.f64 (cos.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (cos.f64 x))))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) (log.f64 (exp.f64 (cos.f64 x))))
	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 3)))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	54.4b	(-.f64 (cos.f64 x) (cos.f64 x))
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	41.1b	(-.f64 (cos.f64 eps) 1)
	23.5b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	41.6b	(*.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))))
	41.4b	(.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
	36.7b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	41.8b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (fma.f64 2 x eps)))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (fma.f64 2 x eps))))))
	17.8b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	41.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.5b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
▶	53.8b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	41.5b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1397 to 882 computations (36.9% 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))
✓	0.2b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	2.0b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 40 to 17 computations (57.5% saved)

series52.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	x	@	inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms	eps	@	-inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
0.0ms	x	@	-inf	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite109.0ms (0.7%)

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 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Outputs

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simplify146.0ms (0.9%)

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

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)
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(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (pow.f64 (cos.f64 eps) 2)) (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (cos.f64 x) (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (pow.f64 (cos.f64 eps) 2))) (.f64 (cos.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (sin.f64 eps) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))
(.f64 (/.f64 (sin.f64 eps) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.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
✓	2.0b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 49

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	1.2b	(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
✓	4.1b	(cos.f64 (+.f64 eps x))

Compiler

Compiled 28 to 7 computations (75% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

192 → 293

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
✓	0.3b	(log1p.f64 (cos.f64 (+.f64 x eps)))
	4.1b	(cos.f64 (+.f64 x eps))
✓	19.7b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series84.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	eps	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
22.0ms	x	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
19.0ms	x	@	-inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
11.0ms	eps	@	inf	(log1p.f64 (cos.f64 (+.f64 x eps)))
1.0ms	x	@	0	(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	12773
1	1634	12195

Stop Event

1×	node limit

Counts

263 → 350

Calls

Call 1

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

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

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))
✓	0.1b	(.f64 (cos.f64 eps) (.f64 x (*.f64 x -1/2)))
✓	0.2b	(*.f64 x (sin.f64 eps))
✓	1.1b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (.f64 x (sin.f64 eps)))) (cos.f64 x))

Compiler

Compiled 79 to 34 computations (57% saved)

series7.0ms (0%)

Counts

4 → 88

Calls

24 calls:

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

rewrite202.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*l/`
956×	`associate-+l+`
434×	`+-commutative`
398×	`associate-+r+`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	132
1	362	128
2	5199	128

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (-.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (.f64 (-.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (.f64 (neg.f64 (cos.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) (+.f64 (.f64 (-.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (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 eps) (+.f64 (.f64 (-.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (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 eps) (+.f64 (.f64 (-.f64 (fma.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2)) (.f64 x (neg.f64 (sin.f64 eps)))) (cos.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (+.f64 (+.f64 (.f64 x (neg.f64 (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) x (.f64 x (sin.f64 eps)))) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (+.f64 (.f64 (.f64 x (neg.f64 (sin.f64 eps))) 1) (+.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 eps) (.f64 x (.f64 x -1/2))) (+.f64 (.f64 x 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simplify271.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`associate-+r+`
1064×	`+-commutative`
1000×	`associate-+l+`
806×	`associate-r`
692×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	850	31629
1	2393	28355

Stop Event

1×	node limit

Counts

419 → 519

Calls

Call 1

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

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

eval734.0ms (4.4%)

Compiler: Compiled 47572 to 17916 computations (62.3% saved)

prune729.0ms (4.4%)

Pruning

51 alts after pruning (48 fresh and 3 done)

	Pruned	Kept	Total
New	1676	33	1709
Fresh	22	15	37
Picked	1	0	1
Done	2	3	5
Total	1701	51	1752

Error

0.1b

Counts

1752 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
▶	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)))
	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) (+.f64 (cos.f64 eps) -1)))
	5.8b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))
	0.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
✓	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
	21.9b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
▶	41.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	41.2b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (cos.f64 eps) 1))
	36.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	41.3b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
▶	41.4b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.4b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	41.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	41.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
▶	23.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	31.2b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	5.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	46.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	43.4b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 3)))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
	43.0b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 x -1/2)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	23.5b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	41.5b	(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
	42.4b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	41.3b	(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
	41.2b	(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
	49.3b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	36.8b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
	17.8b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	57.7b	(.f64 -1/2 (.f64 (*.f64 x x) (cos.f64 eps)))
	57.7b	(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
▶	50.1b	(.f64 -1/2 (.f64 eps eps))
	41.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	41.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	53.3b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) 1))
	53.5b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	44.9b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	41.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1334 to 980 computations (26.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(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)))
✓	0.2b	(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)))

Compiler

Compiled 65 to 36 computations (44.6% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(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)))
1.0ms	eps	@	-inf	(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)))
1.0ms	eps	@	inf	(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)))
1.0ms	eps	@	0	(.f64 (.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2))) (cos.f64 x))
1.0ms	x	@	-inf	(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)))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-*l/`
614×	`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	4603	99

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

Inputs

(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)))

(*.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))

Outputs

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

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-/l*`
1384×	`associate-r`
1200×	`associate-/r*`
940×	`associate-l`
820×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	706	16593
1	1975	15055

Stop Event

1×	node limit

Counts

337 → 459

Calls

Call 1

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

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

localize6.0ms (0%)

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

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))))
	1.2b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	4.1b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (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 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(-.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)) 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(#(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 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (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 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

226 → 327

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
✓	0.2b	(pow.f64 (cos.f64 eps) 2)
✓	0.3b	(-.f64 (cos.f64 eps) -1)
✓	2.1b	(+.f64 (pow.f64 (cos.f64 eps) 2) -1)

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`associate-*r/`
1196×	`associate-*l/`
1166×	`associate-/r*`
1014×	`*-commutative`
878×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	245	50
2	3173	50

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

Outputs
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#<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)))))

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l*`
1074×	`associate-r`
888×	`associate-l`
814×	`associate-/r*`
552×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	11619
1	1477	10009

Stop Event

1×	node limit

Counts

307 → 418

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 -2/45 (pow.f64 eps 6)) (.f64 1/315 (pow.f64 eps 8)))))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
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2
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1
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (cbrt.f64 (+.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)
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 -1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (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 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(*.f64 eps (neg.f64 eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(fma.f64 -1 (.f64 eps eps) (.f64 1/3 (pow.f64 eps 4)))
(-.f64 (.f64 1/3 (pow.f64 eps 4)) (.f64 eps eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6))))
(fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))) (.f64 eps eps))
(+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 -2/45 (pow.f64 eps 6)) (.f64 1/315 (pow.f64 eps 8)))))
(fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (fma.f64 -2/45 (pow.f64 eps 6) (.f64 1/315 (pow.f64 eps 8)))))
(-.f64 (fma.f64 1/3 (pow.f64 eps 4) (fma.f64 -2/45 (pow.f64 eps 6) (.f64 1/315 (pow.f64 eps 8)))) (.f64 eps eps))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 2) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) 2)) (.f64 (pow.f64 eps 6) -1/720))
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
(+.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 1)
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 (neg.f64 (*.f64 eps eps)) 1)
(-.f64 1 (*.f64 eps eps))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 (fma.f64 -1 (.f64 eps eps) (.f64 1/3 (pow.f64 eps 4))) 1)
(+.f64 (.f64 1/3 (pow.f64 eps 4)) (-.f64 1 (.f64 eps eps)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(+.f64 (fma.f64 -1 (.f64 eps eps) (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6)))) 1)
(+.f64 (fma.f64 1/3 (pow.f64 eps 4) (.f64 -2/45 (pow.f64 eps 6))) (-.f64 1 (.f64 eps eps)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 (.f64 eps 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))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 (pow.f64 eps 8) 1/40320))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 1 (cos.f64 eps)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(-.f64 (pow.f64 (cos.f64 eps) 2) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (+.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 4)) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) 1)) (+.f64 -1 (pow.f64 (cos.f64 eps) 4)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 6)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 4)) (*.f64 -1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 1)
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 eps)) -1) (-.f64 -1 (cos.f64 eps)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) -1)
(/.f64 1 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 -1 (pow.f64 (cos.f64 eps) 2))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 2) -1))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(neg.f64 (-.f64 (/.f64 (cos.f64 eps) -1) -1))
(.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (.f64 -1 (cos.f64 eps)))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (cos.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.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 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (.f64 -1 (cos.f64 eps)))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 4)) (+.f64 (cos.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 eps))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) -1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 -1 (cos.f64 eps))))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(neg.f64 (-.f64 (/.f64 (cos.f64 eps) -1) -1))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(fma.f64 1 (cos.f64 eps) -1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(+.f64 -1 (cos.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	2.7b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series9.0ms (0.1%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
1.0ms	x	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
1.0ms	x	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
1.0ms	eps	@	inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
0.0ms	eps	@	-inf	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

rewrite199.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	110
1	294	62
2	4282	62

Stop Event

1×	node limit

Counts

4 → 410

Calls

Call 1

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

Outputs
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simplify366.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1214×	`+-commutative`
1092×	`associate-+r+`
846×	`associate-r`
826×	`associate-+l+`
760×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1010	29414
1	2655	27050

Stop Event

1×	node limit

Counts

474 → 664

Calls

Call 1

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

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

eval1.2s (7.2%)

Compiler: Compiled 56504 to 23206 computations (58.9% saved)

prune718.0ms (4.3%)

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	2154	20	2174
Fresh	8	35	43
Picked	0	1	1
Done	2	5	7
Total	2164	61	2225

Error

0.1b

Counts

2225 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (/.f64 -1 (sin.f64 eps))))
	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
▶	0.3b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 1/2 eps)))) (cos.f64 x)))
	0.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
✓	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
	21.9b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.4b	(/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2) (-.f64 (cos.f64 eps) -1))
✓	41.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	51.2b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
	41.3b	(/.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2) -1) (-.f64 (cos.f64 eps) -1))
	54.4b	(/.f64 (+.f64 1 -1) (-.f64 (cos.f64 eps) -1))
	36.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	18.1b	(/.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))))))
	41.3b	(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
	5.7b	(/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
	40.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	41.2b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	36.8b	(/.f64 1 (/.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	36.2b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	38.9b	(/.f64 1 (-.f64 (/.f64 (.f64 1/2 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (.f64 eps (sin.f64 x)))))
▶	41.5b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	41.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
✓	23.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	51.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	41.2b	(-.f64 (+.f64 (cos.f64 eps) 1) 2)
	31.2b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	5.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	23.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	46.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	43.4b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 3)))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
	43.0b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 x -1/2)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	41.5b	(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
▶	42.4b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	36.8b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
	17.8b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
▶	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	57.7b	(.f64 -1/2 (.f64 (*.f64 x x) (cos.f64 eps)))
	57.7b	(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
✓	50.1b	(.f64 -1/2 (.f64 eps eps))
	36.6b	(.f64 -1 (/.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps)) (cos.f64 (.f64 1/2 eps))))
	0.4b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))))))
	41.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶	41.2b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
	41.2b	(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
	53.3b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) 1))
	53.5b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	44.9b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	41.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

Compiler

Compiled 1572 to 1183 computations (24.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 34 computations (45.2% saved)

series3.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`swap-sqr`
556×	`associate-*r/`
472×	`distribute-rgt-in`
458×	`associate-*l/`
430×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	126
1	344	110
2	4261	104

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify151.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-r`
926×	`associate-l`
908×	`associate-/l*`
764×	`times-frac`
686×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	11451
1	1444	11239
2	7130	11239

Stop Event

1×	node limit

Counts

283 → 349

Calls

Call 1

Inputs
(.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 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (+.f64 (.f64 1/24 (cos.f64 x)) (.f64 -1/12 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 -1 (/.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 eps))) (cos.f64 (*.f64 1/2 eps)))))
(*.f64 -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))))
(.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 1/2 eps)
(+.f64 (.f64 1/24 (pow.f64 eps 3)) (.f64 1/2 eps))
(+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/240 (pow.f64 eps 5)) (*.f64 1/2 eps)))
(+.f64 (.f64 17/40320 (pow.f64 eps 7)) (+.f64 (.f64 1/24 (pow.f64 eps 3)) (+.f64 (.f64 1/240 (pow.f64 eps 5)) (.f64 1/2 eps))))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(/.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1))
(+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) (.f64 (sin.f64 eps) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
(+.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))))) 1)
(+.f64 (.f64 1 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1)) (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) 1) (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))) (-.f64 1 (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))) 1)
(-.f64 (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)))))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 1) (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)))))) 1)
(.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 eps) (+.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
(.f64 (sin.f64 eps) (-.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
(.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (.f64 (sin.f64 x) -1)))
(.f64 (sin.f64 eps) (+.f64 (.f64 (sin.f64 x) -1) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(.f64 (sin.f64 eps) (-.f64 (.f64 (sin.f64 x) -1) (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x))))
(.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))) 1)
(.f64 1 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
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(/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (neg.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) (tan.f64 (.f64 eps 1/2)))
(/.f64 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3)) (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0))
(/.f64 (.f64 (sin.f64 (.f64 eps 1/2)) 1) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0)) (tan.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 1 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3))) (+.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 2) 0))
(/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (.f64 eps 1/2)))) (sqrt.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 eps 1/2)))) (cbrt.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (.f64 -1 (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 -1 (neg.f64 (sin.f64 (.f64 eps 1/2)))) (neg.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (.f64 -1 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0)) (tan.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 -1 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3))) (+.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 2) 0))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) 1) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) 1) (neg.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) 1) (tan.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3)) 1) (+.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 2) 0))
(/.f64 (.f64 (sin.f64 (.f64 eps 1/2)) -1) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) -1) (cos.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) -1) (neg.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) -1) (tan.f64 (*.f64 eps 1/2)))
(/.f64 (.f64 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3)) -1) (+.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 2) 0))
(/.f64 (.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (tan.f64 (.f64 eps 1/2)))) (sqrt.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 eps 1/2))) 2)) (cbrt.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) 1) (cos.f64 (.f64 eps 1/2)))
(/.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 (cos.f64 (.f64 eps 1/2)))) (sqrt.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (.f64 (cbrt.f64 (cos.f64 (.f64 eps 1/2))) (cbrt.f64 (cos.f64 (.f64 eps 1/2))))) (cbrt.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) 1) (cos.f64 (.f64 eps 1/2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (cos.f64 (.f64 eps 1/2)))) (sqrt.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 eps 1/2))) (.f64 (cbrt.f64 (cos.f64 (.f64 eps 1/2))) (cbrt.f64 (cos.f64 (.f64 eps 1/2))))) (cbrt.f64 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) 1) (tan.f64 (.f64 eps 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) (sqrt.f64 (tan.f64 (.f64 eps 1/2)))) (sqrt.f64 (tan.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) (cbrt.f64 (tan.f64 (.f64 eps 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 eps 1/2))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) (pow.f64 (cbrt.f64 (tan.f64 (.f64 eps 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 eps 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) -1) (tan.f64 (.f64 eps 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0) (sin.f64 (.f64 eps 1/2))) (/.f64 1 (cos.f64 (*.f64 eps 1/2))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 eps 1/2)))) (cos.f64 (.f64 eps 1/2)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 eps 1/2)))) (neg.f64 (cos.f64 (.f64 eps 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0)) (tan.f64 (.f64 eps 1/2)))
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (tan.f64 (.f64 eps 1/2)) 3))) (+.f64 (pow.f64 (tan.f64 (.f64 eps 1/2)) 2) 0))
(pow.f64 (tan.f64 (*.f64 eps 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 3) 1/3)
(neg.f64 (tan.f64 (*.f64 eps 1/2)))
(neg.f64 (/.f64 (sin.f64 (.f64 eps 1/2)) (neg.f64 (cos.f64 (.f64 eps 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 eps 1/2))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 eps 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 eps 1/2))))

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.2b	(*.f64 (sin.f64 x) (neg.f64 eps))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1202×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	160	16
2	1989	16

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-+r+`
1130×	`associate-+l+`
1066×	`distribute-lft-in`
1058×	`distribute-rgt-in`
702×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1113
1	233	945
2	1022	767
3	3057	759

Stop Event

1×	node limit

Counts

57 → 65

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 eps)
✓	0.0b	(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
	0.2b	(*.f64 x (sin.f64 eps))
✓	1.7b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))

Compiler

Compiled 29 to 9 computations (69% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`associate-*r/`
876×	`distribute-rgt-in`
846×	`associate-*l/`
830×	`distribute-lft-in`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	239	53
2	3166	53

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs

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

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def`
820×	`associate-r`
678×	`associate-l`
672×	`associate-/l*`
570×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	653	17951
1	1804	16719

Stop Event

1×	node limit

Counts

299 → 381

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (+.f64 (cos.f64 eps) -1))
✓	0.3b	(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	2.0b	(+.f64 (cos.f64 eps) -1)
✓	2.1b	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series27.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	eps	@	inf	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
11.0ms	eps	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
1.0ms	eps	@	0	(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
0.0ms	eps	@	0	(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
0.0ms	eps	@	0	(expm1.f64 (+.f64 (cos.f64 eps) -1))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`*-commutative`
682×	`associate-*r/`
574×	`unswap-sqr`
560×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	222	41
2	2457	41

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(expm1.f64 (+.f64 (cos.f64 eps) -1))

Outputs

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1002×	`associate--r+`
896×	`+-commutative`
640×	`associate-+l-`
632×	`associate-+r-`
590×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	10918
1	1487	10278
2	6029	10266

Stop Event

1×	node limit

Counts

268 → 363

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 379/40320 (pow.f64 eps 8)) (.f64 -31/720 (pow.f64 eps 6)))))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))
(+.f64 (+.f64 0 (cos.f64 eps)) -1)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 1 (cos.f64 eps)) 2)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) (log.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(-.f64 (+.f64 -1 (+.f64 1 (cos.f64 eps))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (log.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))
(-.f64 (+.f64 0 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps))))) 1)
(-.f64 (+.f64 0 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))) (/.f64 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 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 eps))) (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (cos.f64 eps) -1))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)) (+.f64 1 (.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (+.f64 1 (cos.f64 eps)) 2))) (-.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 1 (cos.f64 eps)) 3))) (+.f64 (pow.f64 (cos.f64 eps) 4) (.f64 (+.f64 1 (cos.f64 eps)) (-.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (cos.f64 eps) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))
(.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (+.f64 1 (cos.f64 eps)) (/.f64 (+.f64 1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (/.f64 (+.f64 1 (cos.f64 eps)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 6) 1) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 4) 1) (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))) (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 6) 1) (.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (sqrt.f64 (+.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 4)) (/.f64 1 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2) 3)) (/.f64 1 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 6)) (/.f64 1 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))))) (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))))) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 6) (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)) 1) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)) (sqrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (sqrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (cbrt.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 1 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) (sqrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))))) (sqrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))) (cbrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))) (cbrt.f64 (+.f64 1 (.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))))
(pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 (cos.f64 eps) -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)) (neg.f64 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 -1 (neg.f64 (*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(fma.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 1)
(+.f64 1 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2))
(+.f64 1 (+.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2) 0))
(+.f64 1 (*.f64 1 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2)))
(+.f64 1 (*.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2) 1))
(+.f64 -1 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 0)
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)
(+.f64 0 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -2) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 2)
(-.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (-.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) -1))
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (+.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2) (-.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) 1))
(*.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 1) (+.f64 1 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/6))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2)) 1) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) (+.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 1 (-.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) 1)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1)) (+.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) 1) 1) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) 1) (+.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(fma.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) -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)))
(+.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)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (pow.f64 eps 4) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 1))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (+.f64 (fma.f64 1/6 (pow.f64 eps 4) 1) (.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 1)))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/6 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 (pow.f64 eps 4) 1/6 (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6))))
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (.f64 -1/2 (.f64 eps eps))))
(+.f64 (.f64 1/6 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 379/40320 (pow.f64 eps 8)) (.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 379/40320 (pow.f64 eps 8) (.f64 (pow.f64 eps 6) -31/720))))
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (.f64 (pow.f64 eps 8) 379/40320))))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))
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(/.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps)))) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) -1) (+.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (.f64 1 (-.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) 1)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (expm1.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1))) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps)))) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1))
(/.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1)) (+.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) -1) (+.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) 1) 1) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (expm1.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1))) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cos.f64 eps)))) (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) 1) (+.f64 (exp.f64 (.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) -1) (+.f64 (+.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1) 1) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))
(fabs.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) -1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) -1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 x eps)))
✓	0.5b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
	4.1b	(cos.f64 (+.f64 x eps))
✓	15.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series20.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
3.0ms	eps	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
3.0ms	eps	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	x	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`associate-*r/`
806×	`distribute-rgt-in`
782×	`associate-*l/`
770×	`distribute-lft-in`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	268	47
2	3401	47

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

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

simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-r`
1236×	`fma-def`
986×	`associate-l`
772×	`*-commutative`
618×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	20589
1	2087	19699

Stop Event

1×	node limit

Counts

267 → 350

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x) 1))
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (cos.f64 eps)) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
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(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 x (.f64 x (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))))))) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))) (.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (.f64 x x) (fma.f64 (+.f64 (.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (.f64 -2/9 (.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18)) (.f64 (sin.f64 eps) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) -2/9)))) (pow.f64 x 3) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x)))) -1)
(+.f64 (fma.f64 (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (.f64 x x) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 (fma.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/9 (.f64 (sin.f64 eps) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18)))) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 -1/3 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (sin.f64 eps)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))) -2/9))))) (pow.f64 x 3)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
0
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (.f64 eps (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1))) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
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(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))

eval968.0ms (5.8%)

Compiler: Compiled 49592 to 26098 computations (47.4% saved)

prune662.0ms (4%)

Pruning

73 alts after pruning (64 fresh and 9 done)

	Pruned	Kept	Total
New	1765	23	1788
Fresh	9	41	50
Picked	1	0	1
Done	1	9	10
Total	1776	73	1849

Error

0.1b

Counts

1849 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (/.f64 (.f64 (tan.f64 (.f64 eps 1/2)) (cos.f64 x)) (/.f64 -1 (sin.f64 eps))))
✓	0.3b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 1/2 eps)))) (cos.f64 x)))
	0.6b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 eps)))))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
✓	5.4b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
	5.5b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
	21.9b	(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 1 (+.f64 (cos.f64 eps) -1)))
	41.6b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	41.3b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	41.4b	(/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) 2) (-.f64 (cos.f64 eps) -1))
✓	41.3b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
	51.2b	(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
	41.3b	(/.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2) -1) (-.f64 (cos.f64 eps) -1))
	36.7b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	36.6b	(/.f64 (sin.f64 eps) (/.f64 (cos.f64 (.f64 1/2 eps)) (neg.f64 (sin.f64 (.f64 1/2 eps)))))
	18.1b	(/.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))))))
	5.7b	(/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))))
	40.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
	41.2b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
	36.8b	(/.f64 1 (/.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (+.f64 x (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
	36.2b	(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
	40.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	41.4b	(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
✓	23.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	51.6b	(-.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.8b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	42.6b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	41.2b	(-.f64 (+.f64 (cos.f64 eps) 1) 2)
	31.2b	(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
	5.4b	(-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))
	23.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
	46.8b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	46.8b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	43.4b	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
	41.7b	(-.f64 (cos.f64 (+.f64 x eps)) (fabs.f64 (cos.f64 x)))
✓	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	41.4b	(-.f64 (cos.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (cos.f64 x) 3)))
	41.5b	(-.f64 (cos.f64 (+.f64 x eps)) 1)
	40.8b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	41.1b	(-.f64 (cos.f64 eps) 1)
	43.0b	(+.f64 (-.f64 (.f64 (cos.f64 eps) (+.f64 (.f64 x (.f64 x -1/2)) 1)) (.f64 x (sin.f64 eps))) (neg.f64 (cos.f64 x)))
	41.5b	(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
	42.4b	(+.f64 -1 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))))
✓	42.4b	(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
	48.3b	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (neg.f64 eps))
	36.2b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (neg.f64 eps))
	39.4b	(*.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps))
	39.4b	(*.f64 (+.f64 1 (-.f64 (sin.f64 x) 1)) (neg.f64 eps))
	36.8b	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) -2)
	17.8b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
✓	35.9b	(*.f64 (sin.f64 x) (neg.f64 eps))
	0.4b	(.f64 (sin.f64 eps) (neg.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 1/2 eps)) (sin.f64 x))))
	51.1b	(*.f64 (sin.f64 eps) (neg.f64 x))
	39.4b	(*.f64 (log.f64 (exp.f64 (sin.f64 x))) (neg.f64 eps))
	41.4b	(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 3)
	35.9b	(*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (neg.f64 eps))
	36.2b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 3)) (neg.f64 eps))
	51.5b	(*.f64 x (neg.f64 eps))
	54.4b	(*.f64 eps (sin.f64 x))
	57.7b	(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
✓	50.1b	(.f64 -1/2 (.f64 eps eps))
	0.4b	(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
	41.5b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	53.1b	(log.f64 (+.f64 1 (fabs.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	53.0b	(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (/.f64 1 (+.f64 (cos.f64 eps) -1))))))
	53.0b	(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 eps)))))
	41.2b	(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
	53.3b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) 1))
	53.5b	(fabs.f64 (-.f64 (cos.f64 eps) (cos.f64 x)))
	53.0b	(fabs.f64 (-.f64 (cos.f64 eps) 1))
	44.9b	(fabs.f64 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps 0))) (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) -2)))
	41.2b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	54.4b	0

Compiler

Compiled 908 to 688 computations (24.2% saved)

regimes188.0ms (1.1%)

Counts

119 → 1

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	eps
56.0ms	x
35.0ms	(-.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 1509 to 693 computations (54.1% saved)

regimes163.0ms (1%)

Counts

106 → 1

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
47.0ms	eps
27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 1169 to 572 computations (51.1% saved)

regimes135.0ms (0.8%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	eps
42.0ms	x
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 974 to 489 computations (49.8% saved)

regimes273.0ms (1.6%)

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

107.0ms	x
103.0ms	eps
38.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
5.4b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 894 to 450 computations (49.7% saved)

bsearch203.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
119.0ms	1.8237376074746853e-9	1714344867.8797905
83.0ms	-0.24369152866923752	-2.7908027212192576e-9

Results

104.0ms	174×	body	256	valid
75.0ms	71×	body	1024	valid
12.0ms	48×	body	512	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 622 to 447 computations (28.1% saved)

regimes217.0ms (1.3%)

Counts

88 → 1

Calls

Call 1

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

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

Calls

3 calls:

101.0ms	eps
38.0ms	x
26.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
17.8b	1	`x`
17.8b	1	`eps`
17.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 881 to 445 computations (49.5% saved)

regimes190.0ms (1.1%)

Counts

34 → 3

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(*.f64 eps (sin.f64 x))
(-.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 (cos.f64 eps) 1) 2)
(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
(.f64 -1/2 (.f64 (*.f64 x x) (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 1 -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 1 (-.f64 (sin.f64 x) 1)) (neg.f64 eps))
(*.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) 1))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 -1 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))))
(-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x)))
(/.f64 (+.f64 (+.f64 (.f64 1/2 (cos.f64 (.f64 eps 2))) 1/2) -1) (-.f64 (cos.f64 eps) -1))

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:

84.0ms	x
82.0ms	eps
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
23.8b	3	`x`
17.2b	3	`eps`
18.7b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 285 to 149 computations (47.7% saved)

bsearch72.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.8237376074746853e-9	1714344867.8797905
30.0ms	-12.953884310819218	-0.24369152866923752

Results

26.0ms	71×	body	1024	valid
19.0ms	141×	body	256	valid
14.0ms	46×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 422 to 299 computations (29.1% saved)

regimes173.0ms (1%)

Counts

32 → 3

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(*.f64 eps (sin.f64 x))
(-.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 (cos.f64 eps) 1) 2)
(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
(.f64 -1/2 (.f64 (*.f64 x x) (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 1 -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 1 (-.f64 (sin.f64 x) 1)) (neg.f64 eps))
(*.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
(fabs.f64 (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) 1))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 2)
(+.f64 -1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 x) 1)))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 2) 2) (cos.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(+.f64 -1 (/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))))

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:

81.0ms	eps
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
43.0ms	x

Results

Error	Segments	Branch
23.9b	3	`x`
22.2b	3	`eps`
23.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 257 to 133 computations (48.2% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.2433114986896593e-13	1.8237376074746853e-9
25.0ms	-2.7908027212192576e-9	-2.3309353252722602e-11

Results

21.0ms	59×	body	1024	valid
17.0ms	124×	body	256	valid
14.0ms	45×	body	512	valid
7.0ms	12×	body	2048	valid

Compiler

Compiled 254 to 190 computations (25.2% saved)

regimes84.0ms (0.5%)

Counts

19 → 3

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(*.f64 eps (sin.f64 x))
(-.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 (cos.f64 eps) 1) 2)
(.f64 -1/2 (.f64 x (*.f64 x (cos.f64 eps))))
(.f64 -1/2 (.f64 (*.f64 x x) (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (*.f64 eps (sin.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 1 -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 1 (-.f64 (sin.f64 x) 1)) (neg.f64 eps))
(*.f64 (-.f64 (+.f64 1 (sin.f64 x)) 1) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 1 (.f64 -1/2 (.f64 x x))))
(fabs.f64 (-.f64 (cos.f64 eps) 1))

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

Calls

2 calls:

51.0ms	x
26.0ms	eps

Results

Error	Segments	Branch
26.2b	4	`x`
22.7b	3	`eps`

Compiler

Compiled 132 to 76 computations (42.4% saved)

bsearch95.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.2433114986896593e-13	1.8237376074746853e-9
59.0ms	-35560.21931601956	-39.07259599031474

Results

55.0ms	68×	body	1024	valid
18.0ms	135×	body	256	valid
11.0ms	41×	body	512	valid
8.0ms	12×	body	2048	valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

regimes36.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(*.f64 eps (sin.f64 x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 eps) (neg.f64 x))

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

Calls

2 calls:

18.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
39.7b	3	`x`
33.1b	3	`eps`

Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch83.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	1.8237376074746853e-9	1714344867.8797905
18.0ms	-39.07259599031474	-12.953884310819218

Results

29.0ms	66×	body	1024	valid
28.0ms	26×	body	512	valid
19.0ms	140×	body	256	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 299 to 220 computations (26.4% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(*.f64 eps (sin.f64 x))

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

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
46.8b	1	`x`
46.8b	1	`eps`

Compiler

Compiled 31 to 19 computations (38.7% saved)

regimes17.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))
(.f64 -1/2 (.f64 eps eps))

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

Calls

2 calls:

10.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
48.8b	2	`x`
47.5b	3	`eps`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch129.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	2.540344827792446e-99	7.706448625885089e-98
71.0ms	-1.0884133095228792e-96	-1.6596965142551382e-103

Results

74.0ms	170×	body	1024	valid
34.0ms	48×	body	2048	valid
18.0ms	38×	body	512	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes7.0ms (0%)

Accuracy

Total -3.7b remaining (-7.3%)

Threshold costs -3.7b (-7.3%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 x (neg.f64 eps))

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
51.5b	1	`x`
51.5b	1	`eps`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative`
52×	`+-commutative`
32×	`neg-mul-1`
32×	`neg-sub0`
24×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	635
1	175	635
2	228	635
3	265	635
4	279	635
5	282	635

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 1/2 eps)))) (cos.f64 x)))
(.f64 (sin.f64 eps) (neg.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 1/2 eps)) (sin.f64 x))))
(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -1770887431076117/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3984496719921263/147573952589676412928) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1224979098644775/144115188075855872) (-.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 -3264099712959499/1208925819614629174706176) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -40) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -13) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8116567392432203/73786976294838206464) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(if (<=.f64 eps -378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 2308711300569989/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 x (neg.f64 eps)) (.f64 -1/2 (*.f64 eps eps))))
(*.f64 x (neg.f64 eps))
0

Outputs
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 1/2 eps)))) (cos.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 (neg.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps 1/2))) (cos.f64 x)))
(.f64 (sin.f64 eps) (neg.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 1/2 eps)) (sin.f64 x))))
(.f64 (sin.f64 eps) (neg.f64 (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 x) (tan.f64 (.f64 eps 1/2)) (sin.f64 x)))
(neg.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x)) (sin.f64 x))))
(.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 x) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
(.f64 (sin.f64 eps) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (tan.f64 (*.f64 eps 1/2)) (cos.f64 x))))
(if (<=.f64 eps -1770887431076117/36893488147419103232) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 3984496719921263/147573952589676412928) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -1770887431076117/36893488147419103232) (not (<=.f64 eps 3984496719921263/147573952589676412928))) (-.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) eps)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 -2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(if (<=.f64 eps -2206763817411543/9007199254740992) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1224979098644775/144115188075855872) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -2206763817411543/9007199254740992) (not (<=.f64 eps 1224979098644775/144115188075855872))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 x) eps)))
(if (<=.f64 eps -3264099712959499/1208925819614629174706176) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -3264099712959499/1208925819614629174706176) (not (<=.f64 eps 4352132950612665/2417851639229258349412352))) (-.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -40) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 4352132950612665/2417851639229258349412352) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -40) (not (<=.f64 eps 4352132950612665/2417851639229258349412352))) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (neg.f64 eps)))
(if (<=.f64 eps -13) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8116567392432203/73786976294838206464) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -13) (not (<=.f64 eps 8116567392432203/73786976294838206464))) (+.f64 (cos.f64 eps) -1) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 x eps)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 x eps))
(if (<=.f64 eps -378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 -1/2 (.f64 eps eps)) (if (<=.f64 eps 2308711300569989/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (.f64 x (neg.f64 eps)) (.f64 -1/2 (*.f64 eps eps))))
(if (or (<=.f64 eps -378259259485387/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (not (<=.f64 eps 2308711300569989/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136))) (.f64 (.f64 eps eps) -1/2) (neg.f64 (*.f64 x eps)))
(*.f64 x (neg.f64 eps))
(neg.f64 (*.f64 x eps))
0

Compiler

Compiled 242 to 168 computations (30.6% saved)

soundness273.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1594×	`associate-/l*`
1384×	`associate-r`
1258×	`+-commutative`
1200×	`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	706	16593
1	1975	15055

Stop Event

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

Compiler

Compiled 592 to 216 computations (63.5% saved)

end117.0ms (0.7%)

Compiler: Compiled 218 to 115 computations (47.2% 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