Metrics for 2sin (example 3.3)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (26.6%)

Results

1.8s	3648×	body	1024	valid
1.1s	1225×	body	2048	valid
601.0ms	1486×	body	512	valid
342.0ms	1895×	body	256	valid
3.0ms	2×	body	4096	valid

Bogosity

preprocess165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

362×	`fma-def`
88×	`+-commutative`
84×	`sub-neg`
80×	`*-commutative`
62×	`associate--r+`

Problems

102×	No Errors
95×	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
59×	`(sin.f64 (+.f64 x eps))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	113
1	42	105
2	68	105
3	126	105
4	247	105
5	354	105
6	496	105
7	577	105
8	616	105
9	622	105

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))

Compiler

Compiled 30 to 13 computations (56.7% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize108.0ms (0.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	65.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	80.7%	(sin.f64 (+.f64 x eps))
	100.0%	(sin.f64 x)
✓	100.0%	(sin.f64 x)
✓	80.7%	(sin.f64 (+.f64 x eps))
✓	65.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0%)

Counts

3 → 52

Calls

15 calls:

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

rewrite148.0ms (1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1372×	`flip-+`
902×	`flip--`
280×	`prod-exp`
248×	`frac-times`
150×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	52	37
2	389	37
3	4788	37

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(.f64 2 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))
(.f64 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (.f64 2 (sin.f64 (.f64 (+.f64 eps 0) 1/2))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps 0) 1/2)) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 (.f64 2 (sin.f64 (.f64 (+.f64 eps 0) 1/2))) (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(.f64 (.f64 2 (cos.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (.f64 (+.f64 eps 0) 1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (.f64 (.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(.f64 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (/.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (.f64 (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (.f64 (+.f64 eps 0) 1/2)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 -1 (neg.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 9) (pow.f64 (sin.f64 x) 9)) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (+.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 3) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 2 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 x (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 x (+.f64 x eps))))))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 9) (pow.f64 (sin.f64 x) 9)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (+.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))
(/.f64 (.f64 (+.f64 (sin.f64 (.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 x (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 x (+.f64 x eps)))))) 2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (.f64 (sin.f64 (.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 eps 0) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 3))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) 1) (.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 9) (pow.f64 (sin.f64 x) 9)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (+.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 0 (*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (+.f64 0 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 0) (+.f64 (sin.f64 (+.f64 x eps)) 0)) (pow.f64 (sin.f64 x) 2)) (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 0) (sin.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (/.f64 1 (sin.f64 (-.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 1 (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (.f64 (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))))) (+.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps)))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))

Calls

9 calls:

1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	(sin.f64 (+.f64 x eps))
0.0ms	(sin.f64 x)
0.0ms	(sin.f64 (+.f64 x eps))

simplify177.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1462×	`fma-neg`
1018×	`+-commutative`
674×	`associate-r`
651×	`fma-def`
634×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	11271
1	1431	10773
2	6179	10757

Stop Event

1×	node limit

Counts

197 → 250

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 x (-.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (cos.f64 eps))) (*.f64 x (cos.f64 eps)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
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(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 9) (pow.f64 (sin.f64 x) 9)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (+.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 2))) (neg.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 0 (*.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (+.f64 0 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 0) (+.f64 (sin.f64 (+.f64 x eps)) 0)) (pow.f64 (sin.f64 x) 2)) (+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 0) (sin.f64 x)))
(pow.f64 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (-.f32 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))))
(.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (/.f64 1 (sin.f64 (-.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 1 (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (.f64 (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))))) (+.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps)))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(.f64 (.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(cbrt.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(cbrt.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(*.f64 1 (sin.f64 x))
(pow.f64 (sin.f64 x) 1)
(exp.f64 (log.f64 (sin.f64 x)))
(log.f64 (exp.f64 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (-.f32 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x))))

Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 x (-.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps)))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) (+.f64 1/6 (.f64 (cos.f64 eps) -1/6))))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6))) (.f64 (+.f64 (.f64 (.f64 -1/2 x) x) 1) (sin.f64 eps)))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6))) (.f64 (+.f64 1 (.f64 (.f64 -1/2 x) x)) (sin.f64 eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 eps (cos.f64 x)))))
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(sin.f64 (+.f64 eps x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (cos.f64 x) (.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(sin.f64 (+.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (cos.f64 x) (.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))) (.f64 (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))))) (+.f64 (.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (cos.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps)))) (.f64 (cos.f64 (/.f64 x (/.f64 (-.f64 x eps) x))) (sin.f64 (/.f64 eps (/.f64 (-.f64 x eps) eps))))))
(/.f64 (.f64 (fma.f64 (sin.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (cos.f64 (.f64 (/.f64 eps (-.f64 x eps)) eps)) (.f64 (cos.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (sin.f64 (.f64 (/.f64 eps (-.f64 x eps)) eps)))) (-.f64 (.f64 (sin.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (cos.f64 (.f64 (/.f64 eps (-.f64 x eps)) eps))) (.f64 (cos.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (sin.f64 (.f64 (/.f64 eps (-.f64 x eps)) eps))))) (fma.f64 (sin.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (cos.f64 (.f64 (/.f64 eps (-.f64 x eps)) eps)) (.f64 (cos.f64 (.f64 (/.f64 x (-.f64 x eps)) x)) (sin.f64 (*.f64 (/.f64 eps (-.f64 x eps)) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))) (fma.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))) (fma.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps)))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps))))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 2) (sin.f64 (-.f64 x eps)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (sin.f64 (-.f64 x eps)))) (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 (-.f64 x eps))))) (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (sin.f64 (-.f64 x eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(.f64 (.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 eps x))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 eps x))))
(binary32->binary64 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(cbrt.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 eps x))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 eps x))))
(binary32->binary64 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(binary32->binary64 (-.f32 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x))))

eval84.0ms (0.6%)

Compiler: Compiled 7928 to 2495 computations (68.5% saved)

prune99.0ms (0.7%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	219	31	250
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	32	251

Accuracy

99.8%

Counts

251 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	50.6%	(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	74.8%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
	45.0%	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	59.0%	(-.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (sin.f64 x))
	16.3%	(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
	43.7%	(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
	59.0%	(-.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))))) (sin.f64 x))
	43.0%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
▶	43.7%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	4.2%	(-.f64 (sin.f64 x) (sin.f64 x))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	54.1%	(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
	65.2%	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	56.1%	(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
▶	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	51.1%	(*.f64 eps (cos.f64 x))
▶	57.2%	(sin.f64 eps)
	23.0%	(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	50.6%	(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	74.8%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
	45.0%	(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	59.0%	(-.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (sin.f64 x))
	16.3%	(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
	43.7%	(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
	59.0%	(-.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))))) (sin.f64 x))
	43.0%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
▶	43.7%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	4.2%	(-.f64 (sin.f64 x) (sin.f64 x))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	54.1%	(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
	65.2%	(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	56.1%	(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
▶	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	51.1%	(*.f64 eps (cos.f64 x))
▶	57.2%	(sin.f64 eps)
	23.0%	(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))

Compiler

Compiled 2486 to 1432 computations (42.4% saved)

localize965.0ms (6.6%)

Localize:

Found 28 expressions with local error:

New	Accuracy	Program
	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	99.8%	(*.f64 (sin.f64 x) (cos.f64 eps))
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
	100.0%	(sin.f64 x)
	34.5%	(binary32->binary64 (binary64->binary32 (sin.f64 x)))
	65.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	80.7%	(sin.f64 (+.f64 x eps))
	100.0%	(sin.f64 x)
	80.2%	(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
	99.6%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	77.6%	(+.f64 (cos.f64 eps) -1)
	99.7%	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	100.0%	(sin.f64 x)
	100.0%	(sin.f64 x)
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓	99.8%	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	100.0%	(sin.f64 x)
	80.7%	(sin.f64 (+.f64 x eps))
✓	65.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
✓	34.5%	(binary32->binary64 (binary64->binary32 (sin.f64 x)))
✓	99.6%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.2%	(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
	100.0%	(sin.f64 x)
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	99.7%	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓	77.6%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 160 to 53 computations (66.9% saved)

series21.0ms (0.1%)

Counts

10 → 204

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms	x	@	inf	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1.0ms	x	@	0	(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
1.0ms	x	@	inf	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
1.0ms	x	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite93.0ms (0.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

564×	`fma-def`
478×	`associate-*r/`
420×	`flip3-+`
394×	`flip-+`
386×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	122
1	132	122
2	1084	122

Stop Event

1×	node limit

Counts

10 → 314

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))

Outputs
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
(+.f64 -8 (binary32->binary64 (binary64->binary32 -8)))
(+.f64 -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (binary32->binary64 (binary64->binary32 -8)) -8)
(+.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) -8)
(+.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(*.f64 -8 (binary32->binary64 (binary64->binary32 -8)))
(*.f64 -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(*.f64 (binary32->binary64 (binary64->binary32 -8)) -8)
(*.f64 (binary32->binary64 (binary64->binary32 -8)) (binary32->binary64 (binary64->binary32 -8)))
(*.f64 (binary32->binary64 (binary64->binary32 -8)) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(*.f64 (binary32->binary64 (binary64->binary32 -8)) (-.f64 (binary32->binary64 (binary64->binary32 -8)) -8))
(*.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) -8)
(*.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (binary32->binary64 (binary64->binary32 -8)))
(*.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(/.f64 -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) -8)
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (-.f64 (binary32->binary64 (binary64->binary32 -8)) -8))
(pow.f64 (binary32->binary64 (binary64->binary32 -8)) -8)
(pow.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) -8)
(pow.f64 (exp.f64 (log.f64 (binary32->binary64 (binary64->binary32 -8)))) -8)
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(neg.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(exp.f64 (*.f64 -8 (log.f64 (binary32->binary64 (binary64->binary32 -8)))))
(exp.f64 (+.f64 (.f64 -8 (log.f64 (binary32->binary64 (binary64->binary32 -8)))) (.f64 -8 (log.f64 (binary32->binary64 (binary64->binary32 -8))))))
(exp.f64 (+.f64 -8 (*.f64 -8 (log.f64 (binary32->binary64 (binary64->binary32 -8))))))
(fma.f64 (cos.f64 eps) -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(fma.f64 (sin.f64 eps) -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 -8 (cos.f64 eps) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 -8 (sin.f64 eps) (binary32->binary64 (binary64->binary32 -8)))
(fma.f64 -8 (sin.f64 eps) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 -8 -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 -8 (binary32->binary64 (binary64->binary32 -8)) -8)
(fma.f64 -8 (binary32->binary64 (binary64->binary32 -8)) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 (binary32->binary64 (binary64->binary32 -8)) -8 (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 (binary32->binary64 (binary64->binary32 -8)) (binary32->binary64 (binary64->binary32 -8)) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 (binary32->binary64 (binary64->binary32 -8)) (neg.f64 (binary32->binary64 (binary64->binary32 -8))) -8)
(fma.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (binary32->binary64 (binary64->binary32 -8)) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(fma.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
x

Calls

34 calls:

1.0ms	(+.f64 (cos.f64 eps) -1)
0.0ms	(+.f64 (cos.f64 eps) -1)
0.0ms	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0ms	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

simplify225.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1017×	`associate-+r+`
932×	`associate-+l+`
835×	`+-commutative`
797×	`associate-r`
721×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	12112
1	1174	11174
2	4194	10998

Stop Event

1×	node limit

Counts

518 → 423

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (.f64 1/24 (pow.f64 eps 4)))))
(-.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 x (-.f64 (cos.f64 eps) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
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-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
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(*.f64 1 (+.f64 (cos.f64 eps) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (+.f32 (cos.f32 (binary64->binary32 eps)) -1))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
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(.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
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(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
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(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (+.f32 (cos.f32 (binary64->binary32 eps)) -1))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(binary32->binary64 (.f32 (cos.f32 (.f32 1/2 (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x))))) (.f32 2 (sin.f32 (.f32 (binary64->binary32 eps) 1/2)))))
(binary32->binary64 (binary64->binary32 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(binary32->binary64 (binary64->binary32 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(binary32->binary64 (cos.f32 (*.f32 1/2 (+.f32 (binary64->binary32 eps) (+.f32 (binary64->binary32 x) (binary64->binary32 x))))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps))))
(binary32->binary64 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))))
(binary32->binary64 (-.f32 (sin.f32 (+.f32 (binary64->binary32 x) (binary64->binary32 eps))) (binary64->binary32 (binary32->binary64 (binary64->binary32 (sin.f64 x))))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (binary32->binary64 (binary64->binary32 (sin.f64 x)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (cos.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (cos.f64 eps))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)))) (sin.f32 (binary64->binary32 x))))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (pow.f64 eps 4)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/24 (pow.f64 eps 4))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (+.f64 (.f64 1/40320 (pow.f64 eps 8)) (.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/24 (pow.f64 eps 4) (.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 x (-.f64 (cos.f64 eps) 1))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (.f64 x (+.f64 (cos.f64 eps) -1)))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (-.f64 (cos.f64 eps) 1))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/5040 (.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (.f64 x (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (.f64 1/120 (pow.f64 x 5)))) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x)))
(.f64 -1/2 (.f64 eps (*.f64 eps (sin.f64 x))))
(.f64 (.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))))
(.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x)) (.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6)))))
(.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x)) (fma.f64 1/40320 (.f64 (pow.f64 eps 8) (sin.f64 x)) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 1/40320 (pow.f64 eps 8)))) (.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 1/40320 (pow.f64 eps 8))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 eps (cos.f64 x)))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))) (.f64 (pow.f64 eps 4) (.f64 1/24 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (.f64 x (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(cos.f64 x)
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(fma.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 1/120 (.f64 (cos.f64 eps) (pow.f64 x 5)) (.f64 (cos.f64 eps) x))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 1/120 (pow.f64 x 5)))) (.f64 (cos.f64 eps) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(.f64 (cos.f64 eps) (+.f64 (+.f64 x (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (*.f64 eps eps)) 1))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x)))))
(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(.f64 (sin.f64 x) (+.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (sin.f64 x)) (.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6)))) (fma.f64 (.f64 -1/2 (.f64 eps eps)) (sin.f64 x) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 -1/2 (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (cos.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (*.f64 (cos.f64 eps) x)))
(+.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) x (.f64 -1/2 (.f64 (sin.f64 eps) (*.f64 x x)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 eps) (*.f64 x x))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (cos.f64 eps))) (*.f64 x (cos.f64 eps)))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 -1/6 (.f64 (cos.f64 eps) (pow.f64 x 3)) (.f64 (cos.f64 eps) x))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.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)
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (+.f32 (cos.f32 (binary64->binary32 eps)) -1))
(binary32->binary64 (+.f32 -1 (cos.f32 (binary64->binary32 eps))))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 1 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))
(binary32->binary64 (*.f32 (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x))))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (.f64 (.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))))
-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
(.f64 (sqrt.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(cos.f64 (fma.f64 eps 1/2 x))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
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-8
-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
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-4
-2
-1
-1/2
0
1/4
1/2
1
3/2
2
3
4
8
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-4
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0
1/4
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1
3/2
2
3
4
8
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(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (cos.f32 (binary64->binary32 eps)) (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 (cos.f32 (binary64->binary32 eps)) (sin.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (cos.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 eps) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (cos.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 eps) (sin.f64 x))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 eps)) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (sin.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))))

eval253.0ms (1.7%)

Compiler: Compiled 14104 to 5825 computations (58.7% saved)

prune226.0ms (1.5%)

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	709	36	745
Fresh	12	14	26
Picked	1	4	5
Done	0	1	1
Total	722	55	777

Accuracy

99.9%

Counts

777 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	53.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/24 (pow.f64 eps 4))))))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
	81.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
▶	45.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
	45.1%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
	45.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	79.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
	6.5%	(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
▶	7.3%	(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
	7.4%	(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	63.7%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	43.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
	65.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	7.3%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	52.8%	(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	54.1%	(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
	53.6%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	54.0%	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
	56.1%	(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	52.2%	(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	78.5%	(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	57.0%	(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
	79.6%	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	55.0%	(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	79.5%	(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	57.6%	(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
▶	51.1%	(*.f64 eps (cos.f64 x))
✓	57.2%	(sin.f64 eps)
	6.0%	(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
▶	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	53.0%	(log.f64 (exp.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
	32.3%	(exp.f64 (log.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
	25.2%	(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	6.3%	(binary32->binary64 (binary64->binary32 -8))
▶	99.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	53.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/24 (pow.f64 eps 4))))))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
	81.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
▶	45.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
	45.1%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
	45.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	79.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
	6.5%	(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
▶	7.3%	(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
	7.4%	(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	63.7%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	43.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
	65.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	7.3%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	52.8%	(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	54.1%	(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
	53.6%	(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
	54.0%	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
	56.1%	(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	52.2%	(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	78.5%	(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	57.0%	(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
	79.6%	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	55.0%	(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	79.5%	(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	57.6%	(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
▶	51.1%	(*.f64 eps (cos.f64 x))
✓	57.2%	(sin.f64 eps)
	6.0%	(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
▶	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	53.0%	(log.f64 (exp.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
	32.3%	(exp.f64 (log.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
	25.2%	(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	6.3%	(binary32->binary64 (binary64->binary32 -8))

Compiler

Compiled 3622 to 2450 computations (32.4% saved)

localize788.0ms (5.4%)

Localize:

Found 22 expressions with local error:

New	Accuracy	Program
	99.7%	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	99.9%	(exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
	100.0%	(sin.f64 x)
	99.9%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
	100.0%	(sin.f64 x)
	99.8%	(*.f64 eps (cos.f64 x))
	77.6%	(+.f64 (cos.f64 eps) -1)
	99.8%	(*.f64 (cos.f64 x) (sin.f64 eps))
	99.9%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	100.0%	(sin.f64 x)
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
	99.7%	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
	77.6%	(+.f64 (cos.f64 eps) -1)
✓	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
	100.0%	(sin.f64 x)
✓	99.9%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
✓	99.8%	(*.f64 eps (cos.f64 x))
	100.0%	(sin.f64 x)
✓	99.9%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	99.8%	(*.f64 (cos.f64 x) (sin.f64 eps))
	77.6%	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 145 to 61 computations (57.9% saved)

series9.0ms (0.1%)

Counts

5 → 84

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(*.f64 (cos.f64 x) (sin.f64 eps))
0.0ms	x	@	0	(*.f64 (cos.f64 x) (sin.f64 eps))
0.0ms	eps	@	0	(*.f64 eps (cos.f64 x))
0.0ms	x	@	inf	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
0.0ms	eps	@	inf	(*.f64 eps (cos.f64 x))

rewrite227.0ms (1.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1552×	`fma-def`
702×	`*-commutative`
676×	`flip-+`
644×	`fma-neg`
642×	`flip3-+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	127
1	50	127
2	248	95
3	2332	95

Stop Event

1×	node limit

Counts

5 → 233

Calls

Call 1

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

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

Calls

21 calls:

1.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
1.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
0.0ms	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.0ms	(*.f64 eps (cos.f64 x))
0.0ms	(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))

simplify285.0ms (2%)

Algorithm

1×	egg-herbie

Rules

973×	`+-commutative`
836×	`fma-neg`
797×	`fma-def`
791×	`associate-+r+`
627×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	18843
1	1543	18463
2	5132	18207

Stop Event

1×	node limit

Counts

317 → 326

Calls

Call 1

Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))))))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(*.f64 -1/2 (sin.f64 x))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps (cos.f64 x)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 eps (cos.f64 x))))
(+.f64 (.f64 -1/2 (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (.f64 eps (cos.f64 x)))))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 x) (.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 1/12 (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
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(pow.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
(exp.f64 (log.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(log.f64 (exp.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(binary32->binary64 (binary64->binary32 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(binary32->binary64 (binary64->binary32 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(binary32->binary64 (log.f32 (exp.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (+.f32 (cos.f32 (binary64->binary32 eps)) -1))
(binary32->binary64 (binary64->binary32 (*.f64 eps (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (cos.f64 x))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) -1/2)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(binary32->binary64 (exp.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))

Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (.f64 (.f64 -1/2 (*.f64 x x)) (sin.f64 eps)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (.f64 1/24 (.f64 (sin.f64 eps) (pow.f64 x 4)))))
(+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 x x)) (.f64 1/24 (pow.f64 x 4)))))
(.f64 (sin.f64 eps) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (.f64 1/24 (pow.f64 x 4))))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 x 6) (sin.f64 eps))) (.f64 1/24 (.f64 (pow.f64 x 4) (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 -1/720 (.f64 (sin.f64 eps) (pow.f64 x 6)) (.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (sin.f64 eps) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x)))
(.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(.f64 (cos.f64 x) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 eps 7) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 -1/5040 (.f64 (cos.f64 x) (pow.f64 eps 7)) (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 eps 5)) (.f64 eps (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 eps 5)) eps)) (.f64 (cos.f64 x) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(.f64 (cos.f64 x) (+.f64 (+.f64 eps (.f64 1/120 (pow.f64 eps 5))) (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 -1/5040 (pow.f64 eps 7)))))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (*.f64 x (-.f64 (cos.f64 eps) 1))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (*.f64 x (+.f64 (cos.f64 eps) -1))))
(+.f64 (.f64 (sin.f64 eps) (.f64 -1/2 (*.f64 x x))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (-.f64 (cos.f64 eps) 1))) (*.f64 x (-.f64 (cos.f64 eps) 1)))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (.f64 (sin.f64 eps) (.f64 x x)) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (.f64 x (+.f64 (cos.f64 eps) -1)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 (sin.f64 x) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/24 (.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
eps
(+.f64 eps (.f64 -1/2 (.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(fma.f64 -1/2 (.f64 eps (.f64 x x)) eps)
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (.f64 1/24 (.f64 eps (pow.f64 x 4)))))
(+.f64 eps (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 eps (.f64 -1/2 (.f64 x x)))))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(+.f64 eps (+.f64 (.f64 -1/2 (.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 eps (pow.f64 x 6))) (.f64 1/24 (.f64 eps (pow.f64 x 4))))))
(+.f64 eps (fma.f64 -1/2 (.f64 eps (.f64 x x)) (fma.f64 -1/720 (.f64 eps (pow.f64 x 6)) (.f64 1/24 (*.f64 eps (pow.f64 x 4))))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (fma.f64 1/24 (.f64 eps (pow.f64 x 4)) (.f64 (pow.f64 x 6) (*.f64 eps -1/720))))
(+.f64 (fma.f64 -1/2 (.f64 eps (.f64 x x)) eps) (.f64 eps (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 -1/2 (sin.f64 x))
(+.f64 (.f64 -1/2 (sin.f64 x)) (.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (sin.f64 x)))
(+.f64 (.f64 -1/2 (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (sin.f64 x) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 eps (cos.f64 x))))
(fma.f64 -1/2 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (.f64 -1/2 (sin.f64 x)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 eps 5) (cos.f64 x))) (.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (sin.f64 x) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/120 (.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 eps (cos.f64 x)))))
(fma.f64 -1/2 (sin.f64 x) (fma.f64 -1/6 (.f64 (cos.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps))))
(fma.f64 -1/2 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(.f64 (.f64 (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (cbrt.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (.f64 (.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(.f64 1 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (log.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (exp.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(binary32->binary64 (binary64->binary32 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (log.f32 (exp.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (binary64->binary32 (+.f64 (cos.f64 eps) -1)))
(binary32->binary64 (+.f32 (cos.f32 (binary64->binary32 eps)) -1))
(binary32->binary64 (+.f32 -1 (cos.f32 (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 eps (cos.f64 x))))
(binary32->binary64 (*.f32 (binary64->binary32 eps) (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -1/2 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -1/2 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) -1/2)))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 -1/2 (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)) (*.f32 -1/2 (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(binary32->binary64 (exp.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))))
(binary32->binary64 (exp.f32 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps)))))))
(binary32->binary64 (exp.f32 (fma.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps))))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 (cos.f32 (binary64->binary32 eps)) -1)))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 x)) (+.f32 -1 (cos.f32 (binary64->binary32 eps)))))

eval617.0ms (4.2%)

Compiler: Compiled 16142 to 6907 computations (57.2% saved)

prune199.0ms (1.4%)

Pruning

60 alts after pruning (51 fresh and 9 done)

	Pruned	Kept	Total
New	680	19	699
Fresh	13	32	45
Picked	1	4	5
Done	0	5	5
Total	694	60	754

Accuracy

100.0%

Counts

754 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	58.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
	53.0%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
	99.4%	(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	81.4%	(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
	45.1%	(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	45.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
▶	45.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	79.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
	6.5%	(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
✓	7.3%	(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
	7.4%	(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
▶	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	63.7%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	43.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
	65.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	99.5%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
▶	7.3%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	52.8%	(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	53.6%	(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
	99.4%	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
	45.2%	(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	54.0%	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
	56.1%	(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	42.1%	(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
	52.4%	(+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))) (log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
▶	25.8%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
	25.6%	(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
	52.2%	(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	50.1%	(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
	23.7%	(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
	79.6%	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	55.0%	(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	79.5%	(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	57.6%	(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	51.1%	(*.f64 eps (cos.f64 x))
	6.0%	(*.f64 -1/2 (sin.f64 x))
✓	57.2%	(sin.f64 eps)
	6.0%	(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	53.0%	(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	25.2%	(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	6.3%	(binary32->binary64 (binary64->binary32 -8))
	28.1%	eps
✓	99.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	58.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
	53.0%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
	99.4%	(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	81.4%	(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
	45.1%	(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	45.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
▶	45.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	79.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
	6.5%	(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
	61.9%	(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
	59.4%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
✓	7.3%	(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
	7.4%	(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
▶	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
	63.7%	(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
	43.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
	65.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	99.5%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
▶	7.3%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	52.8%	(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	53.6%	(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
	99.4%	(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
	45.2%	(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
	99.4%	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	54.0%	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
	56.1%	(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	42.1%	(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
	52.4%	(+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))) (log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
▶	25.8%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
	25.6%	(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
	52.2%	(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	50.1%	(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
	23.7%	(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
	79.6%	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	55.0%	(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	79.5%	(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	57.6%	(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	51.1%	(*.f64 eps (cos.f64 x))
	6.0%	(*.f64 -1/2 (sin.f64 x))
✓	57.2%	(sin.f64 eps)
	6.0%	(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	53.0%	(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	25.2%	(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	6.3%	(binary32->binary64 (binary64->binary32 -8))
	28.1%	eps

Compiler

Compiled 3384 to 2292 computations (32.3% saved)

localize680.0ms (4.7%)

Localize:

Found 26 expressions with local error:

New	Accuracy	Program
	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	99.8%	(*.f64 (cos.f64 x) (sin.f64 eps))
	99.8%	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
	100.0%	(sin.f64 x)
	99.9%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	100.0%	(sin.f64 x)
	77.4%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
	88.6%	(.f64 (.f64 -1/2 eps) (*.f64 x x))
	100.0%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
	99.7%	(/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
	99.8%	(*.f64 (sin.f64 eps) (cos.f64 x))
	99.9%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
	100.0%	(sin.f64 x)
	100.0%	(sin.f64 x)
✓	99.8%	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
	99.8%	(*.f64 (cos.f64 x) (sin.f64 eps))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	100.0%	(sin.f64 x)
✓	99.9%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
✓	77.4%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	100.0%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
✓	88.6%	(.f64 (.f64 -1/2 eps) (*.f64 x x))
✓	99.7%	(/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
✓	99.7%	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
✓	99.7%	(pow.f64 (sin.f64 eps) 2)
✓	99.3%	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 177 to 65 computations (63.3% saved)

series27.0ms (0.2%)

Counts

10 → 196

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
4.0ms	eps	@	inf	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
1.0ms	x	@	0	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
1.0ms	eps	@	0	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
1.0ms	x	@	inf	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))

rewrite344.0ms (2.4%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

658×	`associate-r`
598×	`associate-l`
480×	`frac-times`
428×	`fma-def`
368×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	252
1	126	248
2	881	188

Stop Event

1×	node limit

Counts

10 → 611

Calls

Call 1

Inputs
(-.f64 -1 (cos.f64 eps))
(pow.f64 (sin.f64 eps) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
(.f64 (.f64 -1/2 eps) (*.f64 x x))
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))

Outputs
(+.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 (neg.f64 (cos.f64 eps)) -1)
(+.f64 (/.f64 1 (+.f64 -1 (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (/.f64 -1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)) (neg.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 -1 (cos.f64 eps)) 1)
(.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (/.f64 1 (+.f64 -1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 1 (-.f64 -1 (cos.f64 eps)))
(*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)))
(*.f64 (+.f64 (cos.f64 eps) 1) -1)
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(*.f64 (/.f64 1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (neg.f64 (+.f64 -1 (cos.f64 eps)))))
(*.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 -1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))
(.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) 3))) (+.f64 1 (.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) (-.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) 1))))
(/.f64 -1 (neg.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 -1 (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (/.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 eps)))))
(/.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) 1))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (*.f64 1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (/.f64 1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))))
(/.f64 (+.f64 (cos.f64 eps) 1) -1)
(/.f64 (-.f64 1 (.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 3))) (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (*.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1) (+.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 -1 (cos.f64 eps)) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 1 (neg.f64 (+.f64 -1 (cos.f64 eps)))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 1 (neg.f64 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (-.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 -1 (cos.f64 eps))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 -1 (cos.f64 eps))))) (+.f64 (/.f64 1 (+.f64 -1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 (/.f64 -1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)) (/.f64 -1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))) (.f64 (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)) (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)))) (+.f64 (/.f64 -1 (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1)) (/.f64 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) 1))))
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(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 (-.f64 x eps))) (.f64 (sin.f64 x) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))))) (*.f64 (sin.f64 x) (sin.f64 (-.f64 x eps))))
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))) (.f64 (sin.f64 x) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)))) (.f64 (sin.f64 x) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (sin.f64 (-.f64 x eps))) (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))))) (*.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 (-.f64 x eps))))
(/.f64 (+.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)))) (.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x)) (.f64 (sin.f64 (-.f64 x eps)) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (sin.f64 x) 2)) (.f64 (sin.f64 (-.f64 x eps)) (neg.f64 (pow.f64 (sin.f64 x) 3)))) (*.f64 (sin.f64 (-.f64 x eps)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (sin.f64 x)) (.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))) (.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (sin.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (pow.f64 (sin.f64 x) 2)) (.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (neg.f64 (pow.f64 (sin.f64 x) 3)))) (.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (pow.f64 (sin.f64 x) 3))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 3))) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) 1) (.f64 (+.f64 (.f64 (sin.f64 (+.f64 eps x)) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) 1) (.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) 1) (.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) -1 (sin.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0))
(+.f64 (sin.f64 (+.f64 eps x)) 0)
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0))
(+.f64 0 (sin.f64 (+.f64 eps x)))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (/.f64 1 (sin.f64 (-.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 1 (/.f64 (sin.f64 (-.f64 x eps)) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x))))) (sin.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 0) (-.f64 (sin.f64 (+.f64 eps x)) 0))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 0) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 0 (*.f64 (sin.f64 (+.f64 eps x)) 0))))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) 2) (.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 2) (.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))))) 4)
(/.f64 (neg.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))) (neg.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(sin.f64 (+.f64 eps x))

Calls

33 calls:

1.0ms	(-.f64 -1 (cos.f64 eps))
0.0ms	(-.f64 -1 (cos.f64 eps))
0.0ms	(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.0ms	(pow.f64 (sin.f64 eps) 2)
0.0ms	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))

simplify449.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1556×	`distribute-lft-in`
1226×	`+-commutative`
840×	`*-commutative`
557×	`sub-neg`
494×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1714	45979
1	5199	44803

Stop Event

1×	node limit

Counts

807 → 909

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (.f64 1/2 (pow.f64 eps 2))) 2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (+.f64 (.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2)))) 2)
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(pow.f64 eps 2)
(+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (pow.f64 eps 2))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2))))
(.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (*.f64 1/96 (sin.f64 x)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (.f64 1/96 (sin.f64 x))))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 -1/630 (sin.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (sin.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/8 (sin.f64 x)))) (.f64 1/96 (sin.f64 x))))) (+.f64 (.f64 -1/2880 (sin.f64 x)) (.f64 1/48 (-.f64 (.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))
(/.f64 x (+.f64 1 (cos.f64 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (cos.f64 eps)))) (/.f64 x (+.f64 1 (cos.f64 eps))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) 1) (.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) -1 (sin.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(.f64 (sqrt.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) (cbrt.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)))) (cbrt.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(cbrt.f64 (.f64 (.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(.f64 1 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)))
(pow.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) 1)
(exp.f64 (log.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))) (sin.f32 (binary64->binary32 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 0))
(+.f64 (sin.f64 (+.f64 eps x)) 0)
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 0))
(+.f64 0 (sin.f64 (+.f64 eps x)))
(.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (/.f64 1 (sin.f64 (-.f64 x eps))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 1 (/.f64 (sin.f64 (-.f64 x eps)) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))))
(/.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x))))) (sin.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 0) (-.f64 (sin.f64 (+.f64 eps x)) 0))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 0) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 0 (*.f64 (sin.f64 (+.f64 eps x)) 0))))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) 2) (.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))) 4)
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 2) (.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))))) 4)
(/.f64 (neg.f64 (-.f64 (.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x)))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 3))) (neg.f64 (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(sin.f64 (+.f64 eps x))
(.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(.f64 1 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))))
(binary32->binary64 (-.f32 (.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))) (.f32 (pow.f32 (sin.f32 (binary64->binary32 eps)) 2) (/.f32 (neg.f32 (sin.f32 (binary64->binary32 x))) (-.f32 -1 (cos.f32 (binary64->binary32 eps)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(binary32->binary64 (/.f32 (neg.f32 (sin.f32 (binary64->binary32 x))) (-.f32 -1 (cos.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))))
(binary32->binary64 (+.f32 (binary64->binary32 eps) (.f32 (.f32 -1/2 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 -1/2 eps) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 -1/2 eps) (*.f64 x x))))
(binary32->binary64 (.f32 (.f32 -1/2 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (-.f32 (*.f32 (cos.f32 (binary64->binary32 eps)) -8) (binary64->binary32 (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) -2)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))) (sin.f32 (binary64->binary32 x))))

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (.f64 1/2 (pow.f64 eps 2))) 2)
(+.f64 (.f64 -1/24 (pow.f64 eps 4)) (fma.f64 1/2 (.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (.f64 eps eps) -2) (.f64 -1/24 (pow.f64 eps 4)))
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (+.f64 (.f64 1/720 (pow.f64 eps 6)) (*.f64 1/2 (pow.f64 eps 2)))) 2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) (.f64 1/2 (.f64 eps eps)))) -2)
(+.f64 -2 (fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) (.f64 1/2 (.f64 eps eps)))))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 1 (cos.f64 eps)))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (pow.f64 eps 2))
(fma.f64 -1/3 (pow.f64 eps 4) (*.f64 eps eps))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)))
(fma.f64 -1/3 (pow.f64 eps 4) (fma.f64 2/45 (pow.f64 eps 6) (*.f64 eps eps)))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2))))
(fma.f64 -1/3 (pow.f64 eps 4) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 2/45 (pow.f64 eps 6) (*.f64 eps eps))))
(.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x)))
(.f64 1/2 (.f64 (sin.f64 x) (*.f64 eps eps)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (sin.f64 x))) (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))
(fma.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24)))
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(fma.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 (pow.f64 eps 4) (.f64 (sin.f64 x) -1/24) (.f64 (pow.f64 eps 6) (-.f64 (.f64 (sin.f64 x) 1/45) (fma.f64 -1/4 (.f64 (sin.f64 x) -1/24) (*.f64 (sin.f64 x) 1/96))))))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(.f64 (.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps)))) (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(cbrt.f64 (.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2)))
(.f64 1 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 x)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))))
(binary32->binary64 (binary64->binary32 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 x)))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))))
(binary32->binary64 (-.f32 (.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))) (.f32 (pow.f32 (sin.f32 (binary64->binary32 eps)) 2) (/.f32 (neg.f32 (sin.f32 (binary64->binary32 x))) (-.f32 -1 (cos.f32 (binary64->binary32 eps)))))))
(binary32->binary64 (-.f32 (.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))) (/.f32 (.f32 (pow.f32 (sin.f32 (binary64->binary32 eps)) 2) (neg.f32 (sin.f32 (binary64->binary32 x)))) (-.f32 -1 (cos.f32 (binary64->binary32 eps))))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(binary32->binary64 (binary64->binary32 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(binary32->binary64 (/.f32 (neg.f32 (sin.f32 (binary64->binary32 x))) (-.f32 -1 (cos.f32 (binary64->binary32 eps)))))
(binary32->binary64 (binary64->binary32 (+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 eps (.f64 -1/2 (.f64 x x)) eps)))
(binary32->binary64 (binary64->binary32 (+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 eps (.f64 -1/2 (.f64 x x)) eps)))
(binary32->binary64 (+.f32 (binary64->binary32 eps) (.f32 (.f32 -1/2 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x)))))
(binary32->binary64 (fma.f32 -1/2 (.f32 (binary64->binary32 eps) (.f32 (binary64->binary32 x) (binary64->binary32 x))) (binary64->binary32 eps)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 -1/2 eps) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 eps (.f64 -1/2 (*.f64 x x)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 -1/2 eps) (*.f64 x x))))
(binary32->binary64 (binary64->binary32 (.f64 eps (.f64 -1/2 (*.f64 x x)))))
(binary32->binary64 (.f32 (.f32 -1/2 (binary64->binary32 eps)) (*.f32 (binary64->binary32 x) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (binary64->binary32 (-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (-.f32 (*.f32 (cos.f32 (binary64->binary32 eps)) -8) (binary64->binary32 (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (-.f32 (*.f32 -8 (cos.f32 (binary64->binary32 eps))) (binary64->binary32 (binary32->binary64 (binary64->binary32 -8)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))))
(binary32->binary64 (binary64->binary32 (fma.f64 -2 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 (sin.f32 (binary64->binary32 x)) -2)))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)) (*.f32 -2 (sin.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (binary64->binary32 (sin.f64 x)))
(binary32->binary64 (sin.f32 (binary64->binary32 x)))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))))
(binary32->binary64 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (binary64->binary32 (*.f64 (cos.f64 x) (sin.f64 eps))))
(binary32->binary64 (binary64->binary32 (*.f64 (sin.f64 eps) (cos.f64 x))))
(binary32->binary64 (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps))))
(binary32->binary64 (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(binary32->binary64 (binary64->binary32 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (cos.f32 (binary64->binary32 x)) (sin.f32 (binary64->binary32 eps)))) (sin.f32 (binary64->binary32 x))))
(binary32->binary64 (-.f32 (fma.f32 (sin.f32 (binary64->binary32 x)) (cos.f32 (binary64->binary32 eps)) (*.f32 (sin.f32 (binary64->binary32 eps)) (cos.f32 (binary64->binary32 x)))) (sin.f32 (binary64->binary32 x))))

eval717.0ms (4.9%)

Compiler: Compiled 33674 to 15774 computations (53.2% saved)

prune361.0ms (2.5%)

Pruning

68 alts after pruning (56 fresh and 12 done)

	Pruned	Kept	Total
New	1111	18	1129
Fresh	8	38	46
Picked	1	4	5
Done	1	8	9
Total	1121	68	1189

Accuracy

100.0%

Counts

1189 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
	58.4%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
	53.0%	(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
	99.4%	(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
	65.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
	81.4%	(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
	45.1%	(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓	45.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
✓	45.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
	79.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
	6.5%	(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
	51.3%	(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
✓	7.3%	(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
	7.4%	(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
✓	65.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	65.2%	(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
	43.2%	(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
	99.4%	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
	99.4%	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
	99.4%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (cos.f64 eps))) (sin.f64 x)))
	99.3%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (cos.f64 eps) 2) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))))
	99.5%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
	74.4%	(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (cos.f64 eps)))))
	99.4%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
	55.3%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (fma.f64 1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 1/2 (sin.f64 x))) (.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/48)))))
	99.3%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 eps eps)))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
	99.4%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
	58.7%	(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
✓	7.3%	(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
✓	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	45.0%	(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
	41.2%	(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
	43.2%	(-.f64 (sin.f64 (+.f64 x eps)) x)
	52.8%	(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
	22.8%	(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
	53.6%	(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
	45.2%	(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
	45.3%	(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
	99.4%	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	54.0%	(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
	56.1%	(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
	44.8%	(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
	42.1%	(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
	42.1%	(+.f64 (sin.f64 eps) (*.f64 -2 x))
	52.4%	(+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))) (log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
✓	25.8%	(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
	25.6%	(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
	25.8%	(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
	52.2%	(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	50.1%	(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
	23.7%	(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
	79.6%	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	80.0%	(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	55.0%	(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
	79.5%	(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
	57.6%	(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
✓	51.1%	(*.f64 eps (cos.f64 x))
	6.0%	(*.f64 -1/2 (sin.f64 x))
	6.3%	(*.f64 -2 (sin.f64 x))
✓	57.2%	(sin.f64 eps)
	6.0%	(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
	53.0%	(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
	53.0%	(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
	25.2%	(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
	6.3%	(binary32->binary64 (binary64->binary32 -8))
	28.1%	eps

Compiler

Compiled 2582 to 1348 computations (47.8% saved)

regimes279.0ms (1.9%)

Counts

105 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 eps eps)))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (cos.f64 eps) 2) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))))
(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (expm1.f64 (log1p.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/24 (pow.f64 eps 4))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (fma.f64 1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 1/2 (sin.f64 x))) (.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/48)))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2)))))) (cbrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))) (log.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))))) (sin.f64 x))
(-.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 2) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (fma.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) 2) (.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))

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

Calls

3 calls:

111.0ms	eps
76.0ms	x
29.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1605 to 646 computations (59.8% saved)

regimes188.0ms (1.3%)

Counts

82 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 eps eps)))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (cos.f64 eps) 2) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))))
(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (cos.f64 eps))) (sin.f64 x)))

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

Calls

3 calls:

77.0ms	x
62.0ms	eps
25.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 1015 to 441 computations (56.6% saved)

regimes130.0ms (0.9%)

Counts

80 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 eps eps)))) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (cos.f64 eps) 2) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))))
(.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x))))) (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(.f64 (.f64 (cbrt.f64 (.f64 eps (cos.f64 x))) (cbrt.f64 (.f64 eps (cos.f64 x)))) (cbrt.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))

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

Calls

3 calls:

39.0ms	x
39.0ms	eps
31.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 977 to 425 computations (56.5% saved)

regimes256.0ms (1.8%)

Counts

64 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

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

Calls

3 calls:

106.0ms	x
29.0ms	eps
22.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 715 to 349 computations (51.2% saved)

regimes107.0ms (0.7%)

Counts

63 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (+.f64 -1 (cos.f64 eps)) (/.f64 -1 (sin.f64 x))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (.f64 (sin.f64 eps) (.f64 (*.f64 -1/2 x) x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 -1 (/.f64 -1 (.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(fma.f64 -1/2 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 1 (.f64 -1/2 (*.f64 x x))) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 eps (.f64 -1/6 (pow.f64 eps 3)))) (.f64 (sin.f64 x) (+.f64 1 (.f64 -1/2 (*.f64 eps eps))))) (sin.f64 x))

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

Calls

3 calls:

37.0ms	x
29.0ms	eps
20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 703 to 345 computations (50.9% saved)

regimes129.0ms (0.9%)

Counts

53 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(fma.f64 (sin.f64 x) -1 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) 0 (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(.f64 (sqrt.f64 (.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 x (-.f64 (cos.f64 eps) 1)))

Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))

Calls

3 calls:

59.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms	eps
25.0ms	x

Results

Accuracy	Segments	Branch
81.4%	1	`x`
81.4%	1	`eps`
81.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 532 to 266 computations (50% saved)

regimes77.0ms (0.5%)

Counts

47 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(+.f64 (.f64 x (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (sin.f64 (.f64 1/2 (-.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (.f64 1/2 (*.f64 2 (+.f64 eps x)))))
(-.f64 (*.f64 (cos.f64 eps) -8) (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (sin.f32 (binary64->binary32 x))))
(/.f64 (neg.f64 (binary32->binary64 (binary64->binary32 -8))) (neg.f64 (binary32->binary64 (binary64->binary32 -8))))
(+.f64 (.f64 (sin.f64 x) -2) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) -1/2) (.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps))) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 1/2 (.f64 (sin.f64 x) (.f64 eps eps))))
(.f64 (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps (sin.f64 x)))) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 x x)) 1) (sin.f64 eps)) (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (sin.f64 eps) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(fma.f64 (sin.f64 eps) -8 (binary32->binary64 (binary64->binary32 -8)))
(binary32->binary64 (binary64->binary32 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (binary32->binary64 (binary64->binary32 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (binary32->binary64 (binary64->binary32 (sin.f64 x))))
(binary32->binary64 (binary64->binary32 (.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))))
(.f64 (binary32->binary64 (binary64->binary32 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) -1/2))

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

Calls

3 calls:

25.0ms	eps
22.0ms	x
17.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
80.0%	1	`x`
80.0%	1	`eps`
80.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 474 to 250 computations (47.3% saved)

regimes131.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 x (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) (.f64 2 (cos.f64 (.f64 eps 1/2))))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))

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

Calls

3 calls:

56.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.0ms	x
33.0ms	eps

Results

Accuracy	Segments	Branch
80.1%	3	`eps`
80.5%	3	`x`
80.5%	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 168 to 94 computations (44% saved)

regimes52.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))

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

Calls

2 calls:

25.0ms	x
24.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
80.5%	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
80.3%	3	`x`

Compiler

Compiled 113 to 64 computations (43.4% saved)

regimes69.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 eps) (*.f64 -2 x))
(+.f64 (sin.f64 eps) (*.f64 -1/2 x))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(binary32->binary64 (binary64->binary32 -8))
(neg.f64 (binary32->binary64 (binary64->binary32 -8)))
(/.f64 8 (binary32->binary64 (binary64->binary32 -8)))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

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

Calls

3 calls:

25.0ms	x
24.0ms	eps
16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
80.1%	3	`eps`
78.7%	3	`x`
79.7%	3	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 107 to 60 computations (43.9% saved)

regimes13.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
eps
(.f64 (+.f64 (.f64 -1/2 (*.f64 x x)) 1) eps)
(+.f64 eps (.f64 (.f64 -1/2 eps) (*.f64 x x)))
(+.f64 eps (.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 1/24 (*.f64 x x)) -1/2))))
(sin.f64 eps)
(*.f64 -2 (sin.f64 x))
(*.f64 -1/2 (sin.f64 x))

Outputs
(sin.f64 eps)

Calls

2 calls:

7.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
57.2%	1	`x`
57.2%	1	`eps`

Compiler

Compiled 52 to 29 computations (44.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -2.0b remaining (-4.4%)

Threshold costs -2b (-4.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
28.1%	1	`eps`
28.1%	1	`x`

Compiler

Compiled 42 to 23 computations (45.2% saved)

bsearch154.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	3.600560020839857e-5	0.043569326130354566
107.0ms	-3417.530897549561	-0.05195835842794355

Results

69.0ms	155×	body	1024	valid
58.0ms	11×	body	2048	valid
13.0ms	49×	body	512	valid
9.0ms	57×	body	256	valid

Compiler

Compiled 422 to 333 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.864877841896933e-183
0.0ms	-0.012638351326897676	-0.006858249406537453

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch82.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.010596524313432866	35.13620709035846
46.0ms	-763.1776809326353	-5.657023883214855e-18

Results

30.0ms	186×	body	256	valid
29.0ms	78×	body	1024	valid
10.0ms	9×	body	2048	valid
9.0ms	31×	body	512	valid

Compiler

Compiled 242 to 181 computations (25.2% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

274×	`*-commutative`
246×	`distribute-lft-neg-in`
172×	`+-commutative`
144×	`neg-mul-1`
142×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	548
1	120	544
2	158	544
3	200	544
4	243	544
5	296	544
6	345	544
7	374	544
8	403	544
9	451	544
10	505	544
11	551	544
12	602	544
13	640	544
14	679	544
15	718	544
16	769	544
17	808	544
18	849	544
19	890	544
20	911	544
21	915	544

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(if (<=.f64 x -7493989779944505/144115188075855872) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (.f64 eps 1/2)))) (if (<=.f64 x 7194230188746725/18446744073709551616) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5764607523034235/576460752303423488) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2)))) (sin.f64 eps)))
(if (<=.f64 eps -2597301565578305/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 6110483974416289/576460752303423488) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps

Outputs
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (sin.f64 eps) (/.f64 (-.f64 -1 (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) 0))
(.f64 (cos.f64 (.f64 1/2 (+.f64 eps (+.f64 x x)))) (.f64 2 (sin.f64 (.f64 eps 1/2))))
(if (<=.f64 x -7493989779944505/144115188075855872) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (.f64 eps 1/2)))) (if (<=.f64 x 7194230188746725/18446744073709551616) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) 1))) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2))))))
(if (or (<=.f64 x -7493989779944505/144115188075855872) (not (<=.f64 x 7194230188746725/18446744073709551616))) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (.f64 eps 1/2)))) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (cos.f64 eps) 1))))
(if (or (<=.f64 x -7493989779944505/144115188075855872) (not (<=.f64 x 7194230188746725/18446744073709551616))) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (.f64 eps 1/2)))) (+.f64 (sin.f64 eps) (.f64 x (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5764607523034235/576460752303423488) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2)))) (sin.f64 eps)))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) -5764607523034235/576460752303423488) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 0) (.f64 (cos.f64 x) (.f64 2 (sin.f64 (*.f64 eps 1/2)))) (sin.f64 eps)))
(if (<=.f64 eps -2597301565578305/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 6110483974416289/576460752303423488) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps

Compiler

Compiled 207 to 138 computations (33.3% saved)

soundness1.6s (10.7%)

Rules

1552×	`fma-def`
1462×	`fma-neg`
1462×	`fma-neg`
1372×	`flip-+`
1372×	`flip-+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	52	37
2	389	37
3	4788	37
0	493	11271
1	1431	10773
2	6179	10757
0	22	127
1	50	127
2	248	95
3	2332	95
0	546	18843
1	1543	18463
2	5132	18207
0	34	252
1	126	248
2	881	188
0	9	37
1	52	37
2	389	37
3	4788	37
0	493	11271
1	1431	10773
2	6179	10757
0	33	122
1	132	122
2	1084	122
0	531	12112
1	1174	11174
2	4194	10998

Stop Event

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

Compiler

Compiled 1037 to 498 computations (52% saved)

end0.0ms (0%)

preprocess136.0ms (0.9%)

Compiler: Compiled 418 to 206 computations (50.7% saved)

Iter	Nodes	Cost
0	22	113
1	42	105
2	68	105
3	126	105
4	247	105
5	354	105
6	496	105
7	577	105
8	616	105
9	622	105

Iter	Nodes	Cost
0	71	548
1	120	544
2	158	544
3	200	544
4	243	544
5	296	544
6	345	544
7	374	544
8	403	544
9	451	544
10	505	544
11	551	544
12	602	544
13	640	544
14	679	544
15	718	544
16	769	544
17	808	544
18	849	544
19	890	544
20	911	544
21	915	544

Iter	Nodes	Cost
0	22	113
1	42	105
2	68	105
3	126	105
4	247	105
5	354	105
6	496	105
7	577	105
8	616	105
9	622	105

Iter	Nodes	Cost
0	71	548
1	120	544
2	158	544
3	200	544
4	243	544
5	296	544
6	345	544
7	374	544
8	403	544
9	451	544
10	505	544
11	551	544
12	602	544
13	640	544
14	679	544
15	718	544
16	769	544
17	808	544
18	849	544
19	890	544
20	911	544
21	915	544

analyze0.0ms (0%)

sample3.9s (26.6%)

preprocess165.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize108.0ms (0.7%)

series3.0ms (0%)

rewrite148.0ms (1%)

simplify177.0ms (1.2%)

eval84.0ms (0.6%)

prune99.0ms (0.7%)

localize965.0ms (6.6%)

series21.0ms (0.1%)

rewrite93.0ms (0.6%)

simplify225.0ms (1.5%)

eval253.0ms (1.7%)

prune226.0ms (1.5%)

localize788.0ms (5.4%)

series9.0ms (0.1%)

rewrite227.0ms (1.6%)

simplify285.0ms (2%)

eval617.0ms (4.2%)

prune199.0ms (1.4%)

localize680.0ms (4.7%)

series27.0ms (0.2%)

rewrite344.0ms (2.4%)

simplify449.0ms (3.1%)

eval717.0ms (4.9%)

prune361.0ms (2.5%)

regimes279.0ms (1.9%)

regimes188.0ms (1.3%)

regimes130.0ms (0.9%)

regimes256.0ms (1.8%)

regimes107.0ms (0.7%)

regimes129.0ms (0.9%)

regimes77.0ms (0.5%)

regimes131.0ms (0.9%)

regimes52.0ms (0.4%)

regimes69.0ms (0.5%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch154.0ms (1.1%)

bsearch0.0ms (0%)

bsearch82.0ms (0.6%)

simplify80.0ms (0.5%)

soundness1.6s (10.7%)

end0.0ms (0%)

preprocess136.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	22	113
1	42	105
2	68	105
3	126	105
4	247	105
5	354	105
6	496	105
7	577	105
8	616	105
9	622	105

Iter	Nodes	Cost
0	71	548
1	120	544
2	158	544
3	200	544
4	243	544
5	296	544
6	345	544
7	374	544
8	403	544
9	451	544
10	505	544
11	551	544
12	602	544
13	640	544
14	679	544
15	718	544
16	769	544
17	808	544
18	849	544
19	890	544
20	911	544
21	915	544