Metrics for 2sin (example 3.3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze31.0ms (0.3%)

Memory

30.0MiB live, 30.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.1s (69.8%)

Memory

-67.2MiB live, 5 488.4MiB allocated; 3.3s collecting garbage

Samples

3.3s	26 533×	0	invalid
2.0s	5 497×	1	valid
380.0ms	2 759×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.0s

ival-sin: 1.1s (27.8% of total)

adjust: 1.1s (26.3% of total)

ival-<: 487.0ms (12.2% of total)

ival-fabs: 477.0ms (11.9% of total)

ival-sub!: 283.0ms (7.1% of total)

ival-add!: 260.0ms (6.5% of total)

ival-mult!: 211.0ms (5.3% of total)

ival-and: 96.0ms (2.4% of total)

ival-assert: 21.0ms (0.5% of total)

Bogosity

preprocess48.0ms (0.5%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	99	42
2	513	42
3	3118	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

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

rewrite193.0ms (1.9%)

Memory

-30.8MiB live, 138.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	512
0	150	480
1	582	480
2	2297	473
0	8239	442

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 256

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 #s(literal 2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (+.f64 x (PI.f64))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x)))) (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x)))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 eps x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 eps x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps (fabs.f64 x))) (sin.f64 (+.f64 eps (fabs.f64 x)))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps (fabs.f64 x))) (sin.f64 (+.f64 eps (fabs.f64 x)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 (-.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x (fabs.f64 eps))) (sin.f64 (+.f64 x (fabs.f64 eps)))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x (fabs.f64 eps))) (sin.f64 (+.f64 x (fabs.f64 eps)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 eps)) (neg.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps) (sin.f64 x))))
(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)) (neg.f64 (fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))))
(fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
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(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 eps x)))))) #s(literal 4 binary64))
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(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))) #s(literal 4 binary64))
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(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))) #s(literal 4 binary64))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64)))
(sin.f64 (+.f64 eps x))
(fma.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (-.f64 eps (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 eps x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 eps x))) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps (fabs.f64 x))) (sin.f64 (+.f64 eps (fabs.f64 x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps (fabs.f64 x))) (sin.f64 (+.f64 eps (fabs.f64 x)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x (fabs.f64 eps))) (sin.f64 (+.f64 x (fabs.f64 eps)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x (fabs.f64 eps))) (sin.f64 (+.f64 x (fabs.f64 eps)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
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(fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(cos.f64 (+.f64 (-.f64 (neg.f64 eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (-.f64 (neg.f64 eps) x) #s(literal -1 binary64))
(*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 eps x)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps)) (neg.f64 eps))
(*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 eps) x))
(*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(*.f64 (+.f64 eps x) #s(literal 1 binary64))
(*.f64 eps (-.f64 (/.f64 x eps) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 eps x) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 x (PI.f64))))
(sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 x (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))
(cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (.f64 (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (sin.f64 eps))))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 eps))) (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 eps (.f64 #s(literal -1/6 binary64) eps) #s(literal 1 binary64)) (cos.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)))) (cos.f64 x)) eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) (sin.f64 x))))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) eps) #s(literal 1 binary64)) (cos.f64 x))) (sin.f64 x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (+.f64 eps x))

eval35.0ms (0.3%)

Memory: -12.0MiB live, 33.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 821 to 718 computations (74.5% saved)

prune8.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	236	8	244
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	9	245

Accuracy

100.0%

Counts

245 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	6.6%	(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
	6.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
✓	66.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	3.9%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
▶	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 168 to 164 computations (2.4% saved)

series78.0ms (0.8%)

Memory

-25.4MiB live, 29.0MiB allocated; 15ms collecting garbage

Counts

30 → 139

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
eps
x
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64)))
(+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))
(-.f64 (neg.f64 eps) x)
(neg.f64 eps)
(PI.f64)
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(literal -1/2 binary64)
(cos.f64 x)
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))

Outputs
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (sin (- (PI) eps))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (* -1 (cos (- (PI) eps))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (+ (* -1 (cos (- (PI) eps))) (* -1/2 (* x (sin (- (PI) eps))))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (+ (* -1 (cos (- (PI) eps))) (* x (+ (* -1/2 (sin (- (PI) eps))) (* x (+ 1/6 (* 1/6 (cos (- (PI) eps)))))))) 1)))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* -1 (* x (cos (- (PI) eps)))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (+ (* -1 (cos (- (PI) eps))) (* -1/2 (* x (sin (- (PI) eps)))))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (+ (* -1 (cos (- (PI) eps))) (* x (+ (* -1/2 (sin (- (PI) eps))) (* 1/6 (* x (cos (- (PI) eps)))))))))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (PI) eps)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (+ (PI) (* -1 x)) eps)))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 eps)))
#s(approx (- (neg eps) x) #s(hole binary64 (- (* -1 x) eps)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* 1/6 x))) 1)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (PI) (+ eps x))) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (PI) (+ eps x)))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* x (- (/ (PI) x) (+ 1 (/ eps x))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* x (- (* -1 (/ eps x)) 1))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (+ (PI) (* -1 x)) eps)) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (+ (PI) (* -1 x)) eps))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (PI) eps) x)))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 (* x (+ 1 (/ eps x))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (PI) x)) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* -1 (* eps (cos (- (PI) x))))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* -1/2 (* eps (sin (- (PI) x))))))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* eps (+ (* -1/2 (sin (- (PI) x))) (* 1/6 (* eps (cos (- (PI) x))))))))) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (PI) x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* -1 (* eps (cos (- (PI) x)))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* -1/2 (* eps (sin (- (PI) x)))))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* eps (+ (* -1/2 (sin (- (PI) x))) (* 1/6 (* eps (cos (- (PI) x)))))))))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (PI) x)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (+ (PI) (* -1 eps)) x)))
#s(approx (- (neg eps) x) #s(hole binary64 (- (* -1 eps) x)))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (cos x)) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x))))))) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* eps (- (/ (PI) eps) (+ 1 (/ x eps))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (+ (PI) (* -1 eps)) x)) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (+ (PI) (* -1 eps)) x))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (PI) x) eps)))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 (* eps (+ 1 (/ x eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	eps	@	-inf	((* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) 1/2 eps x (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin (+ (- (neg eps) x) (PI))) (+ (- (neg eps) x) (PI)) (- (neg eps) x) (neg eps) (PI) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (cos x) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
10.0ms	eps	@	inf	((* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) 1/2 eps x (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin (+ (- (neg eps) x) (PI))) (+ (- (neg eps) x) (PI)) (- (neg eps) x) (neg eps) (PI) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (cos x) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
6.0ms	eps	@	0	((* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) 1/2 eps x (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin (+ (- (neg eps) x) (PI))) (+ (- (neg eps) x) (PI)) (- (neg eps) x) (neg eps) (PI) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (cos x) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
5.0ms	x	@	inf	((* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) 1/2 eps x (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin (+ (- (neg eps) x) (PI))) (+ (- (neg eps) x) (PI)) (- (neg eps) x) (neg eps) (PI) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (cos x) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
4.0ms	x	@	-inf	((* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) 1/2 eps x (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin (+ (- (neg eps) x) (PI))) (+ (- (neg eps) x) (PI)) (- (neg eps) x) (neg eps) (PI) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (cos x) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))

rewrite215.0ms (2.1%)

Memory

20.6MiB live, 154.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	3158
0	698	2963
1	2616	2826
0	8847	2698

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

169 → 467

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
eps
x
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64)))
(+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))
(-.f64 (neg.f64 eps) x)
(neg.f64 eps)
(PI.f64)
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(literal -1/2 binary64)
(cos.f64 x)
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (sin (- (PI) eps))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (* -1 (cos (- (PI) eps))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (+ (* -1 (cos (- (PI) eps))) (* -1/2 (* x (sin (- (PI) eps))))) 1)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (- (+ (* -1 (cos (- (PI) eps))) (* x (+ (* -1/2 (sin (- (PI) eps))) (* x (+ 1/6 (* 1/6 (cos (- (PI) eps)))))))) 1)))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* -1 (* x (cos (- (PI) eps)))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (+ (* -1 (cos (- (PI) eps))) (* -1/2 (* x (sin (- (PI) eps)))))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) eps)) (* x (+ (* -1 (cos (- (PI) eps))) (* x (+ (* -1/2 (sin (- (PI) eps))) (* 1/6 (* x (cos (- (PI) eps)))))))))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (PI) eps)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (+ (PI) (* -1 x)) eps)))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 eps)))
#s(approx (- (neg eps) x) #s(hole binary64 (- (* -1 x) eps)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* 1/6 x))) 1)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (PI) (+ eps x))) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (PI) (+ eps x)))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* x (- (/ (PI) x) (+ 1 (/ eps x))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* x (- (* -1 (/ eps x)) 1))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (+ (PI) (* -1 x)) eps)) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (+ (PI) (* -1 x)) eps))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (PI) eps) x)))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 (* x (+ 1 (/ eps x))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (PI) x)) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* -1 (* eps (cos (- (PI) x))))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* -1/2 (* eps (sin (- (PI) x))))))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* eps (+ (* -1/2 (sin (- (PI) x))) (* 1/6 (* eps (cos (- (PI) x))))))))) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (PI) x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* -1 (* eps (cos (- (PI) x)))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* -1/2 (* eps (sin (- (PI) x)))))))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (+ (sin (- (PI) x)) (* eps (+ (* -1 (cos (- (PI) x))) (* eps (+ (* -1/2 (sin (- (PI) x))) (* 1/6 (* eps (cos (- (PI) x)))))))))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (PI) x)))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (- (+ (PI) (* -1 eps)) x)))
#s(approx (- (neg eps) x) #s(hole binary64 (- (* -1 eps) x)))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (cos x)) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x))))))) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* eps (- (/ (PI) eps) (+ 1 (/ x eps))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) #s(hole binary64 (- (sin (- (+ (PI) (* -1 eps)) x)) (sin x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) #s(hole binary64 (sin (- (+ (PI) (* -1 eps)) x))))
#s(approx (+ (- (neg eps) x) (PI)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (PI) x) eps)))))))
#s(approx (- (neg eps) x) #s(hole binary64 (* -1 (* eps (+ 1 (/ x eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Outputs
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 (neg.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (+.f64 (fma.f64 eps #s(literal 1/2 binary64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) (+.f64 (fma.f64 eps #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fma.f64 eps #s(literal 1/2 binary64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (+.f64 (fma.f64 eps #s(literal 1/2 binary64) x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 eps #s(literal 1/2 binary64)) (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(neg.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
(neg.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 0 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal 0 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(neg.f64 (-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x))))
(neg.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))))
(sin.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 eps #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (neg.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (neg.f64 x)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(cos.f64 (fabs.f64 (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(cos.f64 (fabs.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(+.f64 (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) x)
(fma.f64 (neg.f64 eps) #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 eps) #s(literal -1/2 binary64) x)
(fma.f64 eps #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) eps (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) eps x)
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
eps
x
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) eps (PI.f64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 0 binary64)))
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(cos.f64 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(neg.f64 (*.f64 #s(literal -1/2 binary64) eps))
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(fma.f64 (neg.f64 eps) #s(literal -1/2 binary64) #s(literal 0 binary64))
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(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin.f64 eps))
(sin.f64 eps)
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(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.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)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(neg.f64 (-.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (sin.f64 eps))))
(neg.f64 (-.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps))))
(neg.f64 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x))))
(neg.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 (+.f64 x eps))) (.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)))))
(neg.f64 (sin.f64 (-.f64 x (-.f64 (PI.f64) eps))))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 (-.f64 (PI.f64) x) eps))
(fma.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)) (*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))))
(fma.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)) (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (+.f64 x eps)))))
(fma.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)) (*.f64 #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 eps) x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x) (neg.f64 (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 eps) (sin.f64 (-.f64 x (PI.f64)))))
(-.f64 (.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) #s(literal -1 binary64)) (neg.f64 (.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64))))
(-.f64 (.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(-.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps))) (.f64 #s(literal -1 binary64) (sin.f64 (+.f64 x eps))))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(cos.f64 (+.f64 (-.f64 (neg.f64 eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) #s(literal -1 binary64)) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps)) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps)) (neg.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 eps)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (.f64 (neg.f64 (neg.f64 (cos.f64 eps))) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (neg.f64 (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps))) (.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (.f64 #s(literal -1 binary64) (sin.f64 (+.f64 x eps)))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps))) (.f64 #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 eps) x))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(neg.f64 (+.f64 (-.f64 eps (PI.f64)) x))
(neg.f64 (-.f64 (neg.f64 (PI.f64)) (-.f64 (neg.f64 eps) x)))
(neg.f64 (-.f64 (-.f64 x (PI.f64)) (neg.f64 eps)))
(neg.f64 (+.f64 (-.f64 x (PI.f64)) eps))
(neg.f64 (-.f64 x (-.f64 (PI.f64) eps)))
(fma.f64 #s(literal -1 binary64) (+.f64 x eps) (neg.f64 (neg.f64 (PI.f64))))
(fma.f64 #s(literal -1 binary64) (+.f64 x eps) (PI.f64))
(fma.f64 #s(literal -1 binary64) eps (-.f64 (PI.f64) x))
(fma.f64 eps #s(literal -1 binary64) (-.f64 (PI.f64) x))
(-.f64 (-.f64 (PI.f64) x) (neg.f64 (neg.f64 eps)))
(-.f64 (-.f64 (PI.f64) x) eps)
(-.f64 (-.f64 (PI.f64) eps) (neg.f64 (neg.f64 x)))
(-.f64 (-.f64 (PI.f64) eps) x)
(-.f64 (PI.f64) (+.f64 x eps))
(-.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (PI.f64)))
(-.f64 (neg.f64 eps) (-.f64 x (PI.f64)))
(+.f64 (-.f64 (PI.f64) x) (neg.f64 eps))
(+.f64 (-.f64 (PI.f64) eps) (neg.f64 x))
(+.f64 (PI.f64) (-.f64 (neg.f64 eps) x))
(+.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 (PI.f64))))
(+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))
(+.f64 (neg.f64 eps) (-.f64 (PI.f64) x))
(*.f64 #s(literal -1 binary64) (+.f64 x eps))
(neg.f64 (+.f64 x eps))
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(fma.f64 #s(literal -1 binary64) eps (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (neg.f64 eps))
(fma.f64 eps #s(literal -1 binary64) (neg.f64 x))
(-.f64 (neg.f64 x) (neg.f64 (neg.f64 eps)))
(-.f64 (neg.f64 x) eps)
(-.f64 (neg.f64 eps) (neg.f64 (neg.f64 x)))
(-.f64 (neg.f64 eps) x)
(+.f64 (neg.f64 x) (neg.f64 eps))
(+.f64 (neg.f64 eps) (neg.f64 x))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 (neg.f64 (neg.f64 eps)))
(neg.f64 eps)
(PI.f64)
(sin.f64 x)
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (neg.f64 eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)) eps))
(-.f64 (.f64 (cos.f64 x) eps) (neg.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 x) eps) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(+.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (cos.f64 x) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(neg.f64 (-.f64 (neg.f64 (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 (neg.f64 (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (-.f64 (-.f64 (PI.f64) x) eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (-.f64 (-.f64 (PI.f64) x) eps) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (cos.f64 eps) (sin.f64 x))))
(neg.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 eps) x)) (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (-.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 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (fabs.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (fabs.f64 eps))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (fabs.f64 x))) (sin.f64 (+.f64 eps (fabs.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))) x) #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) x)))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64))))))) x (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64)))))) x) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 eps #s(literal 1/2 binary64))))))) x (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x) #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64))) (sin.f64 (.f64 #s(literal -1/2 binary64) eps))) x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ (* 1/2 eps) x) (*.f64 eps #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 eps) x) (fma.f64 eps #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 x (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (neg.f64 (neg.f64 (sin.f64 eps))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (neg.f64 (neg.f64 (sin.f64 eps)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 x (-.f64 (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) x) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 eps)))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (fma.f64 x (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 eps))) #s(literal -1/2 binary64) (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x)) x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (sin.f64 eps)))))
#s(approx (sin (+ (- (neg eps) x) (PI))) (-.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 eps)) x)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (fma.f64 x (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 eps))) x) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 eps))) (neg.f64 (neg.f64 (sin.f64 eps)))))
#s(approx (sin (+ (- (neg eps) x) (PI))) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (neg.f64 (cos.f64 eps)) (*.f64 (neg.f64 (neg.f64 (sin.f64 eps))) #s(literal -1/2 binary64))) x) (neg.f64 (cos.f64 eps))) (neg.f64 (neg.f64 (sin.f64 eps)))))
#s(approx (+ (- (neg eps) x) (PI)) (-.f64 (PI.f64) eps))
#s(approx (+ (- (neg eps) x) (PI)) (-.f64 (-.f64 (PI.f64) x) eps))
#s(approx (- (neg eps) x) (neg.f64 eps))
#s(approx (- (neg eps) x) (-.f64 (neg.f64 eps) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 x eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (sin.f64 eps) x))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 x x) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (*.f64 x x) (sin.f64 eps)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (sin.f64 (+.f64 x eps)))
#s(approx (+ (- (neg eps) x) (PI)) (neg.f64 x))
#s(approx (+ (- (neg eps) x) (PI)) (*.f64 (-.f64 (-.f64 (/.f64 (PI.f64) x) #s(literal 1 binary64)) (/.f64 eps x)) x))
#s(approx (- (neg eps) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (sin.f64 (+.f64 x eps)))
#s(approx (+ (- (neg eps) x) (PI)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) eps) x))))
#s(approx (- (neg eps) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 eps x)) x))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (*.f64 (cos.f64 x) eps))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 (sin.f64 x) eps))) eps))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps)) eps)) eps))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/12 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/4 binary64))) eps)) eps))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (-.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) eps)) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (fma.f64 eps (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) eps) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (fma.f64 eps (-.f64 (.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (sin.f64 x)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (neg.f64 (neg.f64 (sin.f64 x))))
#s(approx (sin (+ (- (neg eps) x) (PI))) (-.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) eps)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (fma.f64 eps (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sin.f64 x))) eps) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))))
#s(approx (sin (+ (- (neg eps) x) (PI))) (fma.f64 eps (-.f64 (.f64 (fma.f64 (neg.f64 (neg.f64 (sin.f64 x))) #s(literal -1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))))
#s(approx (+ (- (neg eps) x) (PI)) (-.f64 (PI.f64) x))
#s(approx (+ (- (neg eps) x) (PI)) (-.f64 (-.f64 (PI.f64) x) eps))
#s(approx (- (neg eps) x) (-.f64 (neg.f64 eps) x))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 eps eps) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 eps eps) (cos.f64 x)) eps))
#s(approx (+ (* 1/2 eps) x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
#s(approx (+ (- (neg eps) x) (PI)) (*.f64 (-.f64 (-.f64 (/.f64 (PI.f64) eps) #s(literal 1 binary64)) (/.f64 x eps)) eps))
#s(approx (- (neg eps) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 eps) x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (- (sin (+ (- (neg eps) x) (PI))) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (sin (+ (- (neg eps) x) (PI))) (sin.f64 (+.f64 x eps)))
#s(approx (+ (- (neg eps) x) (PI)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) x) eps)) (neg.f64 eps)))
#s(approx (- (neg eps) x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x eps)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))

eval90.0ms (0.9%)

Memory: -6.9MiB live, 91.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 4 208 to 1 613 computations (61.7% saved)

prune17.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	418	11	429
Fresh	1	2	3
Picked	4	1	5
Done	1	0	1
Total	424	14	438

Accuracy

100.0%

Counts

438 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) (sin.f64 x)))
▶	3.9%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
▶	100.0%	(.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.8%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 457 to 435 computations (4.8% saved)

series91.0ms (0.9%)

Memory

-9.7MiB live, 36.1MiB allocated; 4ms collecting garbage

Counts

42 → 167

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(cos.f64 x)
x
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal -1/2 binary64) eps))
(sin.f64 x)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 x eps))
(+.f64 x eps)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(sin.f64 (+.f64 x eps))
(cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 x)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)

Outputs
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/6 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (cos (* -1/2 eps))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (sin (* -1/2 eps)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin eps) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (* -1 (sin (neg (* -1/2 (PI)))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (+ (* -1 (sin (neg (* -1/2 (PI))))) (* x (- (* -1/2 (sin eps)) (* -1/2 (cos (neg (* -1/2 (PI))))))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (+ (* -1 (sin (neg (* -1/2 (PI))))) (* x (- (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (cos eps)) (* 1/6 (sin (neg (* -1/2 (PI)))))))) (* -1/2 (cos (neg (* -1/2 (PI))))))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (neg (* -1/2 (PI))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (sin (neg (* -1/2 (PI))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (- (* -1/2 (* x (cos (neg (* -1/2 (PI)))))) (* -1 (sin (neg (* -1/2 (PI))))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (- (* x (+ (* -1/2 (cos (neg (* -1/2 (PI))))) (* -1/6 (* x (sin (neg (* -1/2 (PI)))))))) (* -1 (sin (neg (* -1/2 (PI))))))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (- (* -1 x) (* -1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* (sin x) (sin (* -1/2 eps)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (+ eps x)) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (neg (+ x (* -1/2 (PI)))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (- eps (* -1 x))) (cos (- (* -1 x) (* -1/2 (PI)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (- (* -1 x) (* -1/2 (PI))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/48 (pow eps 2)) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* -1/3840 (pow eps 2)))) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* (pow eps 2) (- (* 1/645120 (pow eps 2)) 1/3840)))) 1/2))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin x) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (cos x))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (sin (* -1/2 eps))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (- x (* -1 eps))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	eps	@	inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2))) (- (neg x) (* (PI) -1/2)) (neg x) (* (PI) -1/2) (PI))
10.0ms	eps	@	-inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2))) (- (neg x) (* (PI) -1/2)) (neg x) (* (PI) -1/2) (PI))
7.0ms	x	@	-inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2))) (- (neg x) (* (PI) -1/2)) (neg x) (* (PI) -1/2) (PI))
7.0ms	eps	@	0	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2))) (- (neg x) (* (PI) -1/2)) (neg x) (* (PI) -1/2) (PI))
7.0ms	x	@	inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (* -1/2 eps) -1/2 eps (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2))) (- (neg x) (* (PI) -1/2)) (neg x) (* (PI) -1/2) (PI))

rewrite278.0ms (2.7%)

Memory

26.6MiB live, 206.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	777	4408
0	824	3885
1	3112	3825
0	8102	3617

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

209 → 631

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
(cos.f64 x)
x
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal -1/2 binary64) eps))
(sin.f64 x)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 x eps))
(+.f64 x eps)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(sin.f64 (+.f64 x eps))
(cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 x)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/6 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (cos (* -1/2 eps))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (sin (* -1/2 eps)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin eps) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (* -1 (sin (neg (* -1/2 (PI)))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (+ (* -1 (sin (neg (* -1/2 (PI))))) (* x (- (* -1/2 (sin eps)) (* -1/2 (cos (neg (* -1/2 (PI))))))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin eps) (* x (+ (cos eps) (+ (* -1 (sin (neg (* -1/2 (PI))))) (* x (- (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (cos eps)) (* 1/6 (sin (neg (* -1/2 (PI)))))))) (* -1/2 (cos (neg (* -1/2 (PI))))))))))) (cos (neg (* -1/2 (PI)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (neg (* -1/2 (PI))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (sin (neg (* -1/2 (PI))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (- (* -1/2 (* x (cos (neg (* -1/2 (PI)))))) (* -1 (sin (neg (* -1/2 (PI))))))))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (+ (cos (neg (* -1/2 (PI)))) (* x (- (* x (+ (* -1/2 (cos (neg (* -1/2 (PI))))) (* -1/6 (* x (sin (neg (* -1/2 (PI)))))))) (* -1 (sin (neg (* -1/2 (PI))))))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (- (* -1 x) (* -1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* (sin x) (sin (* -1/2 eps)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (+ eps x)) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (neg (+ x (* -1/2 (PI)))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (- eps (* -1 x))) (cos (- (* -1 x) (* -1/2 (PI)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) #s(hole binary64 (cos (- (* -1 x) (* -1/2 (PI))))))
#s(approx (- (neg x) (* (PI) -1/2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/48 (pow eps 2)) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* -1/3840 (pow eps 2)))) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* (pow eps 2) (- (* 1/645120 (pow eps 2)) 1/3840)))) 1/2))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin x) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (cos x))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (sin (* -1/2 eps))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) #s(hole binary64 (- (sin (- x (* -1 eps))) (cos (neg (+ x (* -1/2 (PI))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))

Outputs
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) (.f64 (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))))
(-.f64 (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))) (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))) #s(literal 4 binary64))
(neg.f64 (-.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))
(neg.f64 (-.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))
(neg.f64 (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))
(sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(fma.f64 (-.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x)))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (neg.f64 (neg.f64 (.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (neg.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (neg.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (neg.f64 (.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (neg.f64 (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x)))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (neg.f64 (neg.f64 x)))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x)))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (neg.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))
(cos.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(cos.f64 (fabs.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(cos.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
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(sin.f64 (+.f64 x eps))
(fma.f64 (sin.f64 eps) (cos.f64 (.f64 #s(literal 1 binary64) x)) (.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1 binary64) x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1 binary64) eps)) (.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1 binary64) eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal 1 binary64) eps))) (.f64 (cos.f64 x) (sin.f64 (.f64 #s(literal 1 binary64) eps))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (cos.f64 eps) (sin.f64 (.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 (+.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x))))
(cos.f64 (fabs.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x))))
(cos.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
(cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x))
(cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal -1/2 binary64)))
(-.f64 (neg.f64 x) (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (PI.f64))))
(-.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))))
(-.f64 (neg.f64 x) (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal -1/2 binary64)))
(PI.f64)
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 eps #s(literal -1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 eps #s(literal -1/2 binary64))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x (cos.f64 (.f64 eps #s(literal -1/2 binary64)))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) x (cos.f64 (.f64 eps #s(literal -1/2 binary64)))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (cos.f64 (.f64 eps #s(literal -1/2 binary64)))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) #s(literal 1/120 binary64) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal -1/6 binary64))) (.f64 x x) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) (.f64 x x))) (.f64 x x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 eps #s(literal -1/2 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 eps #s(literal -1/2 binary64))) x #s(literal 1 binary64)))
#s(approx (* -1/2 (+ x eps)) (*.f64 eps #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ x eps)) (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64)) (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal 1/3 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 eps #s(literal -1/2 binary64))))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 eps #s(literal -1/2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) x)))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 eps #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))
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#s(approx (+ (* 1/2 eps) x) (fma.f64 #s(literal 1/2 binary64) eps x))
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#s(approx (cos (- (neg x) (* (PI) -1/2))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos (- (neg x) (* (PI) -1/2))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (sin x) (sin.f64 x))
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#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
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#s(approx (sin (+ x eps)) (sin.f64 (+.f64 x eps)))
#s(approx (cos (- (neg x) (* (PI) -1/2))) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
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#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
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#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64) (.f64 #s(literal -1/8 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
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#s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
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#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/48 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
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#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/48 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal -1/3840 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/645120 binary64) (.f64 eps eps)) (sin.f64 x))) (.f64 eps eps))) (.f64 eps eps))) eps))
#s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps))
#s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps))
#s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/645120 binary64) (.f64 eps eps) #s(literal -1/3840 binary64)) (.f64 eps eps) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
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#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
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#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
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#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
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#s(approx (sin (* -1/2 eps)) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))
#s(approx (sin (+ (* 1/2 eps) 0)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (* -1/2 (+ x eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#s(approx (+ (* 1/2 eps) x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/48 binary64)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps)))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (+ (* 1/2 eps) 0)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (neg.f64 eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (* -1/2 (+ x eps)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 x eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (+ (* 1/2 eps) x) (*.f64 (neg.f64 eps) (-.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (sin (+ x eps)) (cos (- (neg x) (* (PI) -1/2)))) (-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x))))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 x eps)))

eval115.0ms (1.1%)

Memory: 0.3MiB live, 102.3MiB allocated; 49ms collecting garbage
Compiler: Compiled 5 331 to 2 375 computations (55.4% saved)

prune87.0ms (0.9%)

Memory

-21.6MiB live, 24.7MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	520	6	526
Fresh	2	6	8
Picked	2	3	5
Done	0	1	1
Total	524	16	540

Accuracy

100.0%

Counts

540 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) (sin.f64 x)))
	3.9%	(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
▶	100.0%	(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.8%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 508 to 482 computations (5.1% saved)

series49.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

49 → 158

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 #s(approx (cos ( -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
#s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 eps eps) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 eps eps)
eps
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 #s(approx (* (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (* (sin x) eps) (*.f64 x eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
#s(literal -1/48 binary64)

Outputs
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/6 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (cos (* -1/2 eps))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (sin (* -1/2 eps)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* (sin x) (sin (* -1/2 eps)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (- (* 1/384 (pow eps 2)) 1/8)))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 1/384))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (+ 1/384 (* -1/46080 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/48 (pow eps 2)) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* -1/3840 (pow eps 2)))) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* (pow eps 2) (- (* 1/645120 (pow eps 2)) 1/3840)))) 1/2))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* -1/46080 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/384 (/ 1 (pow eps 2))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/384 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* -1/46080 (pow eps 4))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* (pow eps 4) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* (pow eps 4) (- (* 1/384 (/ 1 (pow eps 2))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (* -1/46080 (pow eps 2))))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (* (pow eps 2) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (sin (* -1/2 eps))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (+ (* -1/46080 (* eps eps)) 1/384) -1/46080 (* eps eps) eps 1/384 -1/8 1 (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (* -1/2 eps) -1/2 (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* x eps) -1/2) 1) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 -1/48)
9.0ms	eps	@	-inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (+ (* -1/46080 (* eps eps)) 1/384) -1/46080 (* eps eps) eps 1/384 -1/8 1 (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (* -1/2 eps) -1/2 (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* x eps) -1/2) 1) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 -1/48)
7.0ms	eps	@	0	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (+ (* -1/46080 (* eps eps)) 1/384) -1/46080 (* eps eps) eps 1/384 -1/8 1 (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (* -1/2 eps) -1/2 (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* x eps) -1/2) 1) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 -1/48)
7.0ms	x	@	-inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (+ (* -1/46080 (* eps eps)) 1/384) -1/46080 (* eps eps) eps 1/384 -1/8 1 (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (* -1/2 eps) -1/2 (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* x eps) -1/2) 1) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 -1/48)
7.0ms	x	@	inf	((* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (cos (* -1/2 eps)) (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (+ (* -1/46080 (* eps eps)) 1/384) -1/46080 (* eps eps) eps 1/384 -1/8 1 (cos x) x (* (sin (* -1/2 eps)) (sin x)) (sin (* -1/2 eps)) (* -1/2 eps) -1/2 (sin x) (sin (+ (* 1/2 eps) 0)) (+ (* 1/2 eps) 0) 1/2 0 2 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* x eps) -1/2) 1) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (cos (+ (* 1/2 eps) x)) (+ (* 1/2 eps) x) (sin (+ (* 1/2 eps) 0)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 -1/48)

rewrite225.0ms (2.2%)

Memory

-2.9MiB live, 139.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	738	4390
0	790	3913
1	2872	3828
0	8227	3664

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

207 → 491

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (fma.f64 #s(approx (cos ( -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
#s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 eps eps) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 eps eps)
eps
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 #s(approx (* (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (* (sin x) eps) (*.f64 x eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
#s(literal -1/48 binary64)
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/6 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))) (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (cos (* -1/2 eps))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (sin (* -1/2 eps)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* (sin x) (sin (* -1/2 eps)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (+ x (* 1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- (* 1/2 eps) (* -1 x)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))))
#s(approx (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/384 (pow eps 2)) 1/8)))))
#s(approx (cos (* -1/2 eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (- (* 1/384 (pow eps 2)) 1/8)))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (- (* (pow eps 2) (+ 1/384 (* -1/46080 (pow eps 2)))) 1/8)))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 1/384))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (+ 1/384 (* -1/46080 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))))
#s(approx (* (sin (* -1/2 eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/48 (pow eps 2)) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* -1/3840 (pow eps 2)))) 1/2))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/48 (* (pow eps 2) (- (* 1/645120 (pow eps 2)) 1/3840)))) 1/2))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* -1/46080 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/384 (/ 1 (pow eps 2))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/384 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* -1/46080 (pow eps 4))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* (pow eps 4) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (+ (* (+ (* -1/46080 (* eps eps)) 1/384) (* eps eps)) -1/8) #s(hole binary64 (* (pow eps 4) (- (* 1/384 (/ 1 (pow eps 2))) (+ 1/46080 (/ 1/8 (pow eps 4)))))))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (* -1/46080 (pow eps 2))))
#s(approx (+ (* -1/46080 (* eps eps)) 1/384) #s(hole binary64 (* (pow eps 2) (- (* 1/384 (/ 1 (pow eps 2))) 1/46080))))
#s(approx (sin (* -1/2 eps)) #s(hole binary64 (sin (* -1/2 eps))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))))
#s(approx (* (+ (* (cos (* -1/2 eps)) (cos x)) (* (sin (* -1/2 eps)) (sin x))) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (sin (neg (* -1/2 eps))) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))))
#s(approx (sin (+ (* 1/2 eps) 0)) #s(hole binary64 (sin (neg (* -1/2 eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* x eps) -1/2) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) #s(hole binary64 (* 2 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps)))))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) #s(hole binary64 (* (cos (- x (* -1/2 eps))) (sin (neg (* -1/2 eps))))))
#s(approx (cos (+ (* 1/2 eps) x)) #s(hole binary64 (cos (- x (* -1/2 eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))

Outputs
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (.f64 (cos.f64 x) #s(approx (cos ( -1/2 eps)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) eps) eps #s(literal 1 binary64)))))))
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(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 eps #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) eps))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) eps))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (neg.f64 eps) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps)) eps))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps))))
(-.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) eps))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps))))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps)) eps))
(-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps (neg.f64 eps)) (fma.f64 #s(literal -1/3840 binary64) (*.f64 eps eps) #s(literal 1/48 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) eps) eps))
(neg.f64 (fma.f64 #s(literal -1/3840 binary64) (*.f64 eps eps) #s(literal 1/48 binary64)))
(fma.f64 (*.f64 #s(literal 1/3840 binary64) eps) eps #s(literal -1/48 binary64))
(fma.f64 #s(literal -1/3840 binary64) (*.f64 eps (neg.f64 eps)) #s(literal -1/48 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64))
(-.f64 #s(literal -1/48 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/3840 binary64) eps)) eps))
(-.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps (neg.f64 eps)) #s(literal 1/3840 binary64)))
(-.f64 #s(literal -1/48 binary64) (.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))
#s(literal 1/3840 binary64)
#s(literal -1/48 binary64)
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64) (.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) x)))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (fma.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) #s(literal 1/120 binary64) (.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal -1/6 binary64))) (.f64 x x) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (* (sin (* -1/2 eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 eps #s(literal -1/2 binary64))) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) (.f64 x x))) (.f64 x x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 eps #s(literal -1/2 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 eps #s(literal -1/2 binary64))) x #s(literal 1 binary64)))
#s(approx (* x eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64) (.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 eps #s(literal -1/2 binary64))))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) x)))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (fma.f64 (-.f64 (.f64 (.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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#s(approx (* (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (+ (* 1/2 eps) x)) (sin (+ (* 1/2 eps) 0))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (+ (* 1/2 eps) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (+ (* 1/2 eps) x) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -4 binary64)) #s(literal 1/3840 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))

eval115.0ms (1.1%)

Memory: -12.5MiB live, 124.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 5 076 to 2 441 computations (51.9% saved)

prune35.0ms (0.3%)

Memory

-13.8MiB live, 41.0MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	464	9	473
Fresh	4	3	7
Picked	2	3	5
Done	0	4	4
Total	470	19	489

Accuracy

100.0%

Counts

489 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 #s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.9%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.8%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (cos.f64 #s(approx (+ (* 1/2 eps) x) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
	44.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))

Compiler

Compiled 745 to 620 computations (16.8% saved)

regimes29.0ms (0.3%)

Memory

-1.8MiB live, 45.1MiB allocated; 2ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (+ (* 1/2 eps) x) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 #s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 eps eps) #s(literal 1/384 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) #s(approx (sin (+ (* 1/2 eps) 0)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Calls

3 calls:

9.0ms	eps
9.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes44.0ms (0.4%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (+ (* 1/2 eps) x) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 #s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 eps eps) #s(literal 1/384 binary64)) (.f64 eps eps) #s(literal -1/8 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 #s(approx (sin (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (fma.f64 #s(approx (cos (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 eps eps) #s(literal 1/384 binary64)) (*.f64 eps eps) #s(literal -1/8 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (*.f64 #s(approx (sin (* -1/2 eps)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3840 binary64) (*.f64 eps eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps)) (sin.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Calls

3 calls:

14.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.0ms	x
14.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes45.0ms (0.4%)

Memory

7.7MiB live, 53.8MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (+ (* 1/2 eps) x) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Calls

3 calls:

16.0ms	eps
14.0ms	x
14.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes56.0ms (0.6%)

Memory

-43.5MiB live, 50.8MiB allocated; 16ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (+ (* 1/2 eps) x) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(approx (sin (+ ( 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (PI.f64))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) eps x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (sin (+ (* 1/2 eps) 0)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Calls

3 calls:

24.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.0ms	x
13.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Calls

3 calls:

8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.3%)

Memory

-16.8MiB live, 29.0MiB allocated; 6ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Calls

3 calls:

14.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (sin (+ (* 1/2 eps) 0)) (*.f64 #s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Calls

3 calls:

6.0ms	eps
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.1%)

Memory

-16.2MiB live, 28.6MiB allocated; 4ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))

Calls

3 calls:

6.0ms	eps
6.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.1%)

Memory

-23.8MiB live, 22.7MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps)))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))

Calls

3 calls:

8.0ms	eps
4.0ms	x
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Calls

3 calls:

2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations848.0ms (8.3%)

Memory

-28.2MiB live, 341.9MiB allocated; 354ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 150 to 114 computations (24% saved)

preprocess215.0ms (2.1%)

Memory: -1.6MiB live, 187.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 193 to 153 computations (20.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze31.0ms (0.3%)

sample7.1s (69.8%)

preprocess48.0ms (0.5%)

series5.0ms (0%)

rewrite193.0ms (1.9%)

eval35.0ms (0.3%)

prune8.0ms (0.1%)

series78.0ms (0.8%)

rewrite215.0ms (2.1%)

eval90.0ms (0.9%)

prune17.0ms (0.2%)

series91.0ms (0.9%)

rewrite278.0ms (2.7%)

eval115.0ms (1.1%)

prune87.0ms (0.9%)

series49.0ms (0.5%)

rewrite225.0ms (2.2%)

eval115.0ms (1.1%)

prune35.0ms (0.3%)

regimes29.0ms (0.3%)

regimes44.0ms (0.4%)

regimes45.0ms (0.4%)

regimes56.0ms (0.6%)

regimes21.0ms (0.2%)

regimes30.0ms (0.3%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes19.0ms (0.2%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

derivations848.0ms (8.3%)

preprocess215.0ms (2.1%)

end0.0ms (0%)

Profiling