Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze121.0ms (1.9%)

Memory

-23.2MiB live, 40.9MiB allocated; 148ms 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)

sample4.4s (69.5%)

Memory

100.4MiB live, 4 147.8MiB allocated; 1.8s collecting garbage

Samples

2.0s	26 064×	0	invalid
1.0s	5 628×	1	valid
154.0ms	2 628×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sin: 667.0ms (37.8% of total)

ival-fabs: 274.0ms (15.5% of total)

ival-<: 242.0ms (13.7% of total)

adjust: 187.0ms (10.6% of total)

ival-mult!: 125.0ms (7.1% of total)

ival-add!: 110.0ms (6.2% of total)

ival-sub!: 90.0ms (5.1% of total)

ival-and: 58.0ms (3.3% of total)

ival-assert: 11.0ms (0.6% of total)

Bogosity

preprocess51.0ms (0.8%)

Memory

-21.5MiB live, 22.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	103	42
2	497	42
3	2825	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 36

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)))
#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))
#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))
#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)))
#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 eps #s(hole binary64 eps))
#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	@	-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	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))

rewrite153.0ms (2.4%)

Memory

25.2MiB live, 127.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	522
1	1058	522
0	8330	491

Stop Event

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

Counts

42 → 121

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)))
#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))
#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))
#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)))
#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 eps #s(hole binary64 eps))
#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x))))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))) (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))))
(neg.f64 (-.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) (.f64 (sin.f64 x) (cos.f64 eps))))
(neg.f64 (-.f64 (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (sin.f64 eps))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (cos.f64 eps) (sin.f64 x))))
(neg.f64 (sin.f64 (-.f64 (neg.f64 x) eps)))
(sin.f64 (+.f64 eps 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 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)) (.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)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 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)))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (.f64 (-.f64 eps x) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps (neg.f64 (neg.f64 x))))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 x (neg.f64 (neg.f64 eps))))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 eps (-.f64 eps x))))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (.f64 x (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (-.f64 x eps) (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (-.f64 eps x) (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps))) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))))
(neg.f64 (-.f64 (neg.f64 eps) (neg.f64 (neg.f64 x))))
(neg.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (/.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(+.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
(sin.f64 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)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin 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 (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)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) 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 (-.f64 (/.f64 eps x) #s(literal -1 binary64)) 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 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 (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (sin (+ x eps)) (sin.f64 x))
#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)))
#s(approx (sin (+ x eps)) (fma.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 (sin.f64 x)))
#s(approx eps eps)
#s(approx (+ x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))
#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 (-.f64 (/.f64 x eps) #s(literal -1 binary64)) eps))

eval17.0ms (0.3%)

Memory: -29.2MiB live, 16.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 272 to 465 computations (63.4% saved)

prune6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Accuracy

100.0%

Counts

112 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	6.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
▶	64.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	64.2%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 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))
▶	99.8%	#s(approx (- (sin (+ x eps)) (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))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 228 to 218 computations (4.4% saved)

series50.0ms (0.8%)

Memory

1.2MiB live, 45.1MiB allocated; 9ms collecting garbage

Counts

37 → 231

Calls

Call 1

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

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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin 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) -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 (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (+ (* x (- (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (/ (sin (* 2 eps)) (sin eps))) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (+ (* x (- (+ (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (* x (- (* -2/3 (/ (sin (* 2 eps)) (sin eps))) (+ (* -1/2 (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (+ (/ (* (+ 1 (cos eps)) (- (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (sin eps)) (/ (* (- 1/2 (* 1/2 (cos (* 2 eps)))) (- (* -1/6 (cos eps)) 1/6)) (pow (sin eps) 2))))))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (/ (sin (* 2 eps)) (sin eps))) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* -1 (* x (+ 1 (* -1 (cos (* 2 eps)))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (* 2 eps)))) (+ 1 (* -1 (cos (* 2 eps)))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (cos (* 2 eps))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (* 2 eps)))) (* -1 (cos (* 2 eps))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 eps)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 eps))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 eps)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (cos eps))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* -1/2 (* x (sin eps)))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) 1/6))))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#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 (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (+ eps x))))) (+ (sin x) (sin (+ eps x))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ eps x))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (+ eps x)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (+ eps x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps 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 (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (* (cos eps) (sin x)) (* (cos x) (sin eps)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- eps (* -1 x)))))) (+ (sin x) (sin (- eps (* -1 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- eps (* -1 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- eps (* -1 x))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (- eps (* -1 x))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin eps) #s(hole binary64 eps))
#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 x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* 1/2 (/ (* eps (sin (* 2 x))) (sin x)))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (+ (* 1/2 (/ (cos (* 2 x)) (sin x))) (* eps (- (* -1/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (+ (* 1/2 (/ (cos (* 2 x)) (sin x))) (* eps (- (+ (* -1/3 (/ (sin (* 2 x)) (sin x))) (* eps (- (* -1/6 (/ (cos (* 2 x)) (sin x))) (+ (* -1/4 (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (+ (* -1/24 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))) (* 1/2 (/ (* (cos x) (- (* -1/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x)))))) (sin x)))))))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (sin (* 2 x)))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (cos (* 2 x))) (* -1 (sin (* 2 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (- (* -2/3 (* eps (sin (* 2 x)))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (- (* eps (cos (* 2 x))) (* -1 (sin (* 2 x)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (- (* eps (- (* -2/3 (* eps (sin (* 2 x)))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 x))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (* 2 (sin x))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (cos x)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#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)) #s(hole binary64 (* eps (cos 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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (sin eps) #s(hole binary64 (sin 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 (* -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 (* 2 (+ eps x)) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- x (* -1 eps)))))) (+ (sin x) (sin (- x (* -1 eps)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- x (* -1 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- x (* -1 eps))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (- x (* -1 eps))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) 2 (+ eps x) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (sin (+ eps x)) (sin x)) (sin (+ eps x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos eps) (* (cos x) (sin eps)))
8.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) 2 (+ eps x) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (sin (+ eps x)) (sin x)) (sin (+ eps x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos eps) (* (cos x) (sin eps)))
7.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) 2 (+ eps x) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (sin (+ eps x)) (sin x)) (sin (+ eps x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos eps) (* (cos x) (sin eps)))
6.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) 2 (+ eps x) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (sin (+ eps x)) (sin x)) (sin (+ eps x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos eps) (* (cos x) (sin eps)))
6.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) 2 (+ eps x) (- 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (sin (+ eps x)) (sin x)) (sin (+ eps x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos eps) (* (cos x) (sin eps)))

rewrite220.0ms (3.5%)

Memory

25.2MiB live, 164.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	933	6127
0	993	5434
1	6580	5434
0	8843	5196

Stop Event

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

Counts

268 → 497

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (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))
(.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)
(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
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 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))
(.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)
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(*.f64 #s(literal 2 binary64) (+.f64 eps x))
#s(literal 2 binary64)
(+.f64 eps x)
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 (+.f64 eps x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cos.f64 eps)
(*.f64 (cos.f64 x) (sin.f64 eps))
#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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin 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) -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 (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (+ (* x (- (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (/ (sin (* 2 eps)) (sin eps))) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (- (+ (* x (- (+ (* x (- (+ (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (* x (- (* -2/3 (/ (sin (* 2 eps)) (sin eps))) (+ (* -1/2 (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (+ (/ (* (+ 1 (cos eps)) (- (* -1 (/ (+ 1 (* -1 (cos (* 2 eps)))) (sin eps))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (sin eps)) (/ (* (- 1/2 (* 1/2 (cos (* 2 eps)))) (- (* -1/6 (cos eps)) 1/6)) (pow (sin eps) 2))))))) (+ (* -1/2 (/ (- 1/2 (* 1/2 (cos (* 2 eps)))) (sin eps))) (/ (* (+ 1 (cos eps)) (- (/ (sin (* 2 eps)) (sin eps)) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (sin eps))))) (/ (sin (* 2 eps)) (sin eps))) (/ (* (+ 1 (cos eps)) (- 1/2 (* 1/2 (cos (* 2 eps))))) (pow (sin eps) 2)))) (* 1/2 (/ 1 (sin eps)))) (* 1/2 (/ (cos (* 2 eps)) (sin eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* -1 (* x (+ 1 (* -1 (cos (* 2 eps)))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (* 2 eps)))) (+ 1 (* -1 (cos (* 2 eps)))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (cos (* 2 eps))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* x (- (* x (- (* -2/3 (* x (sin (* 2 eps)))) (* -1 (cos (* 2 eps))))) (* -1 (sin (* 2 eps)))))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 eps)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 eps))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 eps)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (cos eps))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* -1/2 (* x (sin eps)))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) 1/6))))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#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 (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (+ eps x))))) (+ (sin x) (sin (+ eps x))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ eps x))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (+ eps x)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 x)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (+ eps x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps 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 (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (* (cos eps) (sin x)) (* (cos x) (sin eps)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- eps (* -1 x)))))) (+ (sin x) (sin (- eps (* -1 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- eps (* -1 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- eps (* -1 x))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (- eps (* -1 x))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin eps) #s(hole binary64 eps))
#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 x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* 1/2 (/ (* eps (sin (* 2 x))) (sin x)))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (+ (* 1/2 (/ (cos (* 2 x)) (sin x))) (* eps (- (* -1/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (/ (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (- (+ (* 1/2 (/ (cos (* 2 x)) (sin x))) (* eps (- (+ (* -1/3 (/ (sin (* 2 x)) (sin x))) (* eps (- (* -1/6 (/ (cos (* 2 x)) (sin x))) (+ (* -1/4 (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (+ (* -1/24 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))) (* 1/2 (/ (* (cos x) (- (* -1/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x)))))) (sin x)))))))) (+ (* -1/8 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (* 1/2 (/ (cos (* 2 x)) (sin x))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))) (* 1/4 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (sin (* 2 x)))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (cos (* 2 x))) (* -1 (sin (* 2 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (- (* -2/3 (* eps (sin (* 2 x)))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (- (* eps (cos (* 2 x))) (* -1 (sin (* 2 x)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- (+ 1/2 (* eps (- (* eps (- (* -2/3 (* eps (sin (* 2 x)))) (* -1 (cos (* 2 x))))) (* -1 (sin (* 2 x)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 x))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (* 2 (sin x))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (cos x)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#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)) #s(hole binary64 (* eps (cos 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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (sin eps) #s(hole binary64 (sin 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 (* -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 (* 2 (+ eps x)) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#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 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (+ (sin (+ eps x)) (sin x))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- x (* -1 eps)))))) (+ (sin x) (sin (- x (* -1 eps)))))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 x))) (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- x (* -1 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- x (* -1 eps))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (sin (+ eps x)) (sin x)) #s(hole binary64 (+ (sin x) (sin (- x (* -1 eps))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))

Outputs
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (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))
(.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)
(.f64 eps (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)))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)) (.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x)))))
(neg.f64 (-.f64 (neg.f64 (cos.f64 x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)) (cos.f64 x)))
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x))
(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))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
eps
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))))
(neg.f64 (-.f64 (neg.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
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(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
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(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
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(neg.f64 (-.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (sin.f64 x)))
(neg.f64 (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x))))
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
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(neg.f64 (sin.f64 (-.f64 (neg.f64 x) eps)))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(neg.f64 (-.f64 (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (sin.f64 eps))))
(sin.f64 (+.f64 eps 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 (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 (.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 (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 (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 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))
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(+.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)))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(neg.f64 (sin.f64 (-.f64 (neg.f64 x) eps)))
(neg.f64 (sin.f64 (-.f64 (neg.f64 eps) x)))
(neg.f64 (-.f64 (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (sin.f64 eps))))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(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 (.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 (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)))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))
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(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))
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(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
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(*.f64 (sin.f64 eps) (cos.f64 x))
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(/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (sin.f64 eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
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#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
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#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) 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 x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 x x) #s(literal -1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (sin 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 (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) #s(literal -1/2 binary64)) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.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 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#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 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.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 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (fma.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) (sin.f64 eps))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) (sin.f64 eps))))) x (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps))) (fma.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) (sin.f64 eps))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) (sin.f64 eps))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (sin.f64 eps))))) x (neg.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) (sin.f64 eps)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps)) (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))) (sin.f64 eps))))) x (-.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) (sin.f64 eps))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (sin.f64 (+.f64 eps eps)) x #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 x (-.f64 (.f64 (neg.f64 x) (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64))) (sin.f64 (neg.f64 (+.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 x (-.f64 (.f64 (-.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal -2/3 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 eps eps)))) x) (sin.f64 (neg.f64 (+.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 (sin.f64 (+.f64 eps eps)) x #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 x (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) x) (sin.f64 (neg.f64 (+.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 x (-.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal -2/3 binary64)) (neg.f64 (cos.f64 (+.f64 eps eps)))) x) (sin.f64 (neg.f64 (+.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 (+.f64 eps eps)) (sin.f64 (neg.f64 (+.f64 eps eps)))) x)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 x (fma.f64 x (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) (sin.f64 (neg.f64 (+.f64 eps eps)))) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (+.f64 eps eps)))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (*.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal -2 binary64) (cos.f64 (+.f64 eps eps))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) x) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 eps eps)))) x (cos.f64 (+.f64 eps eps))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 x (fma.f64 (.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal 4/3 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 eps eps)))) x (cos.f64 (+.f64 eps eps))))
#s(approx (* 2 (+ eps x)) (+.f64 eps eps))
#s(approx (* 2 (+ eps x)) (*.f64 (+.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (+ (sin (+ eps x)) (sin x)) (sin.f64 eps))
#s(approx (+ (sin (+ eps x)) (sin x)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ (sin (+ eps x)) (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 (+ eps x)) (sin x)) (fma.f64 (+.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)) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (sin.f64 eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin 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) (cos eps)) (* (cos x) (sin eps))) (sin.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal -1/2 binary64) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 eps) #s(literal 1/24 binary64))) (.f64 x x))) (.f64 x x) (sin.f64 eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.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 (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (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)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#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 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (+.f64 x x))
#s(approx (* 2 (+ eps x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (sin (+ eps x)) (sin x)) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 (+.f64 eps x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 (+.f64 eps x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -2 binary64) #s(literal -2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ (sin (+ eps x)) (sin x)) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 (+.f64 eps x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (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 x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin eps) 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 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (+.f64 x x)) eps)) (sin.f64 x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) eps (*.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal -1/3 binary64)) (fma.f64 (.f64 (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (sin.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x))))) eps (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 (+.f64 x x))) (sin.f64 x)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (cos.f64 x) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal -1/3 binary64)) (fma.f64 (.f64 (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (sin.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x))))) (sin.f64 x))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal -1/3 binary64))) (fma.f64 (.f64 (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (sin.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x))))) eps (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (sin.f64 x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) #s(literal 1/2 binary64))) eps))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (sin.f64 (+.f64 x x)) eps))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (-.f64 (.f64 (cos.f64 (+.f64 x x)) eps) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64)) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal -1/3 binary64) (*.f64 #s(literal -2/3 binary64) (sin.f64 (+.f64 x x)))) eps) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 (sin.f64 (+.f64 x x)) eps #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 eps (-.f64 (.f64 (cos.f64 (+.f64 x x)) eps) (sin.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 (fma.f64 eps (-.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64)) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (neg.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (neg.f64 eps) (sin.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (sin.f64 (neg.f64 (+.f64 x x)))) eps)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (sin.f64 (+.f64 x x)) (neg.f64 (cos.f64 (+.f64 x x)))) (sin.f64 (neg.f64 (+.f64 x x)))) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (+.f64 x x)))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (*.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x x)))) eps (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 4/3 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x x)))) eps (cos.f64 (+.f64 x x))))
#s(approx (+ (sin (+ eps x)) (sin x)) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (+ (sin (+ eps x)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (sin (+ eps x)) (sin x)) (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (sin (+ eps x)) (sin x)) (fma.f64 eps (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)) (*.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 x))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.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 (sin.f64 x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (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 x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 x))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.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 (sin.f64 x)))
#s(approx (cos eps) #s(literal 1 binary64))
#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)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal 1/120 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
#s(approx (sin eps) (sin.f64 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 (* 2 (+ eps x)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 2 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
#s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (+ (sin (+ eps x)) (sin x)) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 (+.f64 eps x)))

eval74.0ms (1.2%)

Memory: -53.3MiB live, 69.9MiB allocated; 34ms collecting garbage
Compiler: Compiled 6 146 to 2 381 computations (61.3% saved)

prune14.0ms (0.2%)

Memory

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

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	436	11	447
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	440	16	456

Accuracy

100.0%

Counts

456 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	6.4%	(/.f64 #s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64)))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	6.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
	64.2%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))) (sin.f64 x))
✓	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	64.2%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
▶	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
✓	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 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	99.8%	#s(approx (- (sin (+ x eps)) (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))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	98.9%	#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 eps x)) x #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 540 to 505 computations (6.5% saved)

series36.0ms (0.6%)

Memory

-9.8MiB live, 35.6MiB allocated; 8ms collecting garbage

Counts

33 → 171

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) eps)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
x
#s(literal -1/2 binary64)
(cos.f64 x)
#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 eps x)) 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 eps x)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+.f64 eps x)
#s(literal 1 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(-.f64 (+.f64 eps x) x)
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) 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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin 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 x #s(hole binary64 x))
#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 (* (+ (* (* (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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (- (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #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 (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos 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 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#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 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) -1/6 (* (sin x) -1/2) (sin x) x -1/2 (cos x) (- (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 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (- (+ eps x) x) 1/2) (- (+ eps x) x) 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x))
8.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) -1/6 (* (sin x) -1/2) (sin x) x -1/2 (cos x) (- (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 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (- (+ eps x) x) 1/2) (- (+ eps x) x) 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x))
4.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) -1/6 (* (sin x) -1/2) (sin x) x -1/2 (cos x) (- (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 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (- (+ eps x) x) 1/2) (- (+ eps x) x) 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x))
4.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) -1/6 (* (sin x) -1/2) (sin x) x -1/2 (cos x) (- (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 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (- (+ eps x) x) 1/2) (- (+ eps x) x) 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x))
4.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) -1/6 (* (sin x) -1/2) (sin x) x -1/2 (cos x) (- (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 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (- (+ eps x) x) 1/2) (- (+ eps x) x) 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x))

rewrite192.0ms (3%)

Memory

1.1MiB live, 144.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	4242
0	715	4086
1	4405	4066
0	8590	3757

Stop Event

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

Counts

204 → 353

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) eps)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
x
#s(literal -1/2 binary64)
(cos.f64 x)
#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 eps x)) 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 eps x)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+.f64 eps x)
#s(literal 1 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(-.f64 (+.f64 eps x) x)
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) 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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin 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 x #s(hole binary64 x))
#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 (* (+ (* (* (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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (- (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #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 (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos x) #s(hole binary64 (cos 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 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#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 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) eps) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) (cos.f64 x)))))
(neg.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps)) (cos.f64 x)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (cos.f64 x))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps))) eps))
eps
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)))
(fma.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)))
(-.f64 (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) #s(approx ( (cos x) eps) eps)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 #s(literal -1/6 binary64) #s(approx (* (cos x) eps) eps)))
#s(approx (* (cos x) eps) eps)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
x
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #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 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps)
(.f64 eps #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x) (.f64 (.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x) (.f64 (.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x))))
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(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) eps))
(fma.f64 x #s(literal 2 binary64) (neg.f64 (neg.f64 eps)))
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x x) (*.f64 #s(literal 1 binary64) eps))
(+.f64 (+.f64 x x) (neg.f64 (neg.f64 eps)))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps 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 (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps (.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) x)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 eps eps)) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 x x) #s(literal -1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (sin 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 (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 x x)
#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 (* (+ (* (* (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) #s(literal -1/2 binary64)) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.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 (+.f64 eps x) #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 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (+ eps x)) (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (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) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) 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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (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))))) (neg.f64 (.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 #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.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(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.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 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (fma.f64 (fma.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 (neg.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 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (- (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (fma.f64 x (-.f64 (.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))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.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 (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (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)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos x) (cos.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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* -1/2 (+ eps x)) (*.f64 #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 -1/2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ eps x) x) 1/2) x)
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#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 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 (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (*.f64 x x)) #s(literal 1 binary64)))
#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 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 (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (fma.f64 eps (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.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 (sin (* (- (+ eps x) x) 1/2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.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 (* (- (+ eps x) x) 1/2)) (.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 (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 x))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (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 (* (+ (+ eps x) x) 1/2)) (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)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) 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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (* -1/2 (+ eps x)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))

eval45.0ms (0.7%)

Memory: 14.4MiB live, 58.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 764 to 2 066 computations (56.6% saved)

prune20.0ms (0.3%)

Memory

-24.8MiB live, 21.3MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	345	11	356
Fresh	6	1	7
Picked	2	3	5
Done	2	2	4
Total	355	17	372

Accuracy

100.0%

Counts

372 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	100.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	99.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	99.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	100.0%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))))
▶	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))
▶	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	98.9%	#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 eps x)) x #s(literal 1 binary64))) eps))
▶	5.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 581 to 542 computations (6.7% saved)

series29.0ms (0.5%)

Memory

36.3MiB live, 36.3MiB allocated; 0ms collecting garbage

Counts

46 → 192

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(.f64 #s(approx (sin ( (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
(*.f64 eps eps)
eps
#s(literal 1/3840 binary64)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
(.f64 #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))) eps)
#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)))
(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))
(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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)

Outputs
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #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 (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#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 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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#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) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 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 (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#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) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x 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 (* -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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* eps eps) eps 1/3840 -1/48 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) -1/2 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI))
5.0ms	eps	@	-inf	((* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* eps eps) eps 1/3840 -1/48 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) -1/2 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI))
5.0ms	x	@	-inf	((* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* eps eps) eps 1/3840 -1/48 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) -1/2 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI))
4.0ms	eps	@	inf	((* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* eps eps) eps 1/3840 -1/48 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) -1/2 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI))
3.0ms	eps	@	0	((* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (sin (* (- (+ eps x) x) 1/2)) (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* eps eps) eps 1/3840 -1/48 1/2 (cos (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) -1/2 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) 1 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI))

rewrite199.0ms (3.1%)

Memory

-7.6MiB live, 133.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	718	4897
0	768	4552
1	4381	4471
0	8834	4228

Stop Event

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

Counts

238 → 506

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(.f64 #s(approx (sin ( (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
(*.f64 eps eps)
eps
#s(literal 1/3840 binary64)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
(.f64 #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))) eps)
#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)))
(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))
(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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #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 (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#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 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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 x))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#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) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #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 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #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 (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 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 (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#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) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin 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 (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x 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 (* -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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))

Outputs
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))))
(fma.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps)) (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))))
(fma.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))))
(+.f64 (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))) (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))))
#s(literal 2 binary64)
(.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))) #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps)))
(.f64 #s(approx (sin ( (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) eps))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) eps) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) eps) eps) #s(literal 1/2 binary64)))
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(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
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#s(approx (sin (* (- (+ eps x) x) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (+ eps x) x) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
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#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx x x)
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#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
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#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(literal 1 binary64))
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#s(approx (* (* x x) -1/2) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
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#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) eps)
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#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 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/645120 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
#s(approx (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1/645120 binary64)))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/645120 binary64))))
#s(approx (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/645120 binary64)) (*.f64 eps eps)))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) 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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (* 2 (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (+.f64 #s(literal 1/645120 binary64) (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/645120 binary64) (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (cos (* (+ (+ eps x) x) 1/2)) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#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) (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))))

eval67.0ms (1.1%)

Memory: -2.8MiB live, 85.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 6 468 to 2 920 computations (54.9% saved)

prune27.0ms (0.4%)

Memory

-29.2MiB live, 34.4MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	478	9	487
Fresh	6	1	7
Picked	3	2	5
Done	0	5	5
Total	487	17	504

Accuracy

100.0%

Counts

504 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	100.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 #s(approx (* (+ (+ eps x) x) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
	100.0%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	99.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	99.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	13.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) #s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
✓	99.4%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
✓	98.9%	#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	98.9%	#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 eps x)) x #s(literal 1 binary64))) eps))
✓	5.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 827 to 630 computations (23.8% saved)

regimes28.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

40 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 #s(approx (* (+ (+ eps x) x) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#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 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (* (- (+ eps x) x) 1/2)) (cos (* (+ (+ eps x) x) 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) #s(approx (* (+ (* (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (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))
(/.f64 #s(approx (- (- 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (- 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (+.f64 x x)) (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64)))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

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

Outputs

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

Calls

3 calls:

9.0ms	x
9.0ms	eps
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)

regimes18.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

25 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.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)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

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

Outputs

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

Calls

3 calls:

6.0ms	eps
6.0ms	x
6.0ms	(-.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)

regimes22.0ms (0.4%)

Memory

-30.1MiB live, 16.4MiB allocated; 3ms collecting garbage

Counts

22 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

11.0ms	x
5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 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)

regimes14.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

19 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (* (- (+ eps x) x) 1/2)) (.f64 #s(approx (+ ( (+ (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))))

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

Calls

3 calls:

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

regimes13.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

17 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (+.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))

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

Calls

3 calls:

4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.4%)

Memory

-37.5MiB live, 9.2MiB allocated; 2ms collecting garbage

Counts

11 → 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #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 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) eps))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))

Outputs

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

20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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 eps x)) x #s(literal 1 binary64))) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

regimes4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -59.9b remaining (-7717%)

Threshold costs -59.9b (-7717%)

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.8%	1	`eps`
98.8%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations355.0ms (5.6%)

Memory

-9.3MiB live, 133.3MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 145 to 101 computations (30.3% saved)

preprocess93.0ms (1.5%)

Memory: 32.9MiB live, 173.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 188 to 140 computations (25.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze121.0ms (1.9%)

sample4.4s (69.5%)

preprocess51.0ms (0.8%)

series5.0ms (0.1%)

rewrite153.0ms (2.4%)

eval17.0ms (0.3%)

prune6.0ms (0.1%)

series50.0ms (0.8%)

rewrite220.0ms (3.5%)

eval74.0ms (1.2%)

prune14.0ms (0.2%)

series36.0ms (0.6%)

rewrite192.0ms (3%)

eval45.0ms (0.7%)

prune20.0ms (0.3%)

series29.0ms (0.5%)

rewrite199.0ms (3.1%)

eval67.0ms (1.1%)

prune27.0ms (0.4%)

regimes28.0ms (0.4%)

regimes18.0ms (0.3%)

regimes22.0ms (0.4%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

derivations355.0ms (5.6%)

preprocess93.0ms (1.5%)

end0.0ms (0%)

Profiling