Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze34.0ms (0.5%)

Memory

9.7MiB live, 55.7MiB allocated; 6ms 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)

sample4.2s (62.1%)

Memory

84.3MiB live, 5 116.7MiB allocated; 1.0s collecting garbage

Samples

2.1s	26 062×	0	invalid
851.0ms	5 522×	1	valid
156.0ms	2 734×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sin: 717.0ms (36% of total)

ival-fabs: 367.0ms (18.5% of total)

ival-mult!: 267.0ms (13.4% of total)

ival-add!: 164.0ms (8.2% of total)

adjust: 161.0ms (8.1% of total)

ival-<: 155.0ms (7.8% of total)

ival-sub!: 86.0ms (4.3% of total)

ival-and: 60.0ms (3% of total)

ival-assert: 13.0ms (0.7% of total)

Bogosity

preprocess33.0ms (0.5%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	42	42
2	81	42
3	153	42
4	380	42
5	1121	42
6	3318	42
7	6690	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite154.0ms (2.3%)

Memory

-17.4MiB live, 163.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	522
1	979	516
0	8749	481

Stop Event

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

Counts

42 → 111

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

eval10.0ms (0.1%)

Memory: 18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 160 to 394 computations (66% saved)

prune7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	11	103

Accuracy

100.0%

Counts

103 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
✓	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) #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)))
▶	61.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	61.5%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
	99.4%	#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))
▶	99.9%	#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))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 254 to 242 computations (4.7% saved)

series36.0ms (0.5%)

Memory

1.5MiB live, 46.7MiB allocated; 6ms collecting garbage

Counts

35 → 165

Calls

Call 1

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

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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 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 x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (+ eps x)))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#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 eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 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 (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 x))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* x (+ 1 (/ eps 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 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 (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x eps) eps) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos 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)) #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 (+ (* (* (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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#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)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#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)))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps))
6.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps))
5.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps))
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps))
4.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps))

rewrite176.0ms (2.6%)

Memory

-4.3MiB live, 142.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	4212
0	675	4140
1	3815	4140
0	8289	3965

Stop Event

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

Counts

200 → 369

Calls

Call 1

Inputs
#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))
(.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)
(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
(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)))
(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) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
(sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
(fma.f64 (/.f64 x eps) eps eps)
(/.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))
(.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))
(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)
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 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 x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (+ eps x)))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#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 eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 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 (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 x))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* x (+ 1 (/ eps 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 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 (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (/ x eps) eps) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos 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)) #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 (+ (* (* (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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#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)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#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)))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #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) x)))) (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))))))
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(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)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 x) eps)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(+.f64 (.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)
(*.f64 eps (cos.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)))
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps) #s(literal 1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (*.f64 eps x) #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 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) 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) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 x x) #s(literal -1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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) -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 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) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ x eps) eps) eps) eps)
#s(approx (+ (* (/ x eps) eps) eps) (+.f64 eps x))
#s(approx (/ x eps) (/.f64 x 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 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) 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 #s(literal 1/12 binary64) eps) x #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 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.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 eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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 (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#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 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 (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (/ x eps) eps) eps) x)
#s(approx (+ (* (/ x eps) eps) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) 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 eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (+ (* (/ x eps) eps) eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) 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 (cos.f64 x) #s(literal -1/6 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 eps eps)
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 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)) (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 (+ (* (* (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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (+ (* (/ x eps) eps) eps) (fma.f64 (/.f64 x eps) eps 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 (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (+ (* (/ x eps) eps) eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#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)))))

eval63.0ms (0.9%)

Memory: -24.7MiB live, 76.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 5 675 to 2 063 computations (63.6% saved)

prune22.0ms (0.3%)

Memory

-7.7MiB live, 36.4MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	394	13	407
Fresh	0	5	5
Picked	3	2	5
Done	0	1	1
Total	397	21	418

Accuracy

100.0%

Counts

418 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
✓	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) #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)))
✓	61.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	61.1%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #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)))
	60.7%	(-.f64 (sin.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	99.4%	#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 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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.9%	#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))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 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))) (cos.f64 x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.3%	#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) (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))) eps))
	99.0%	#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))
	98.3%	#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 (.f64 eps x) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #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))))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 793 to 741 computations (6.6% saved)

series33.0ms (0.5%)

Memory

13.9MiB live, 59.4MiB allocated; 3ms collecting garbage

Counts

46 → 244

Calls

Call 1

Inputs
#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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps)
(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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
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)))
(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) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (sin eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps)
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps)
(fma.f64 eps #s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/6 binary64) eps)
(-.f64 (sin.f64 (+.f64 x eps)) #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)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#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))
(.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)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* x (- (* 1/24 (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))))))
#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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
#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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) 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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x)))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (/ 1 (pow eps 3)))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* 1/24 (* (pow eps 2) x))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#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 (+ 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 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)) #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
6.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (* (+ (* (* eps eps) 1/24) -1/2) x) (+ (* (* eps eps) 1/24) -1/2) (* eps eps) (* (* eps eps) -1/6) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x))
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (* (+ (* (* eps eps) 1/24) -1/2) x) (+ (* (* eps eps) 1/24) -1/2) (* eps eps) (* (* eps eps) -1/6) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x))
5.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (* (+ (* (* eps eps) 1/24) -1/2) x) (+ (* (* eps eps) 1/24) -1/2) (* eps eps) (* (* eps eps) -1/6) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x))
4.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (* (+ (* (* eps eps) 1/24) -1/2) x) (+ (* (* eps eps) 1/24) -1/2) (* eps eps) (* (* eps eps) -1/6) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x))
4.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (* (+ (* (* eps eps) 1/24) -1/2) x) (+ (* (* eps eps) 1/24) -1/2) (* eps eps) (* (* eps eps) -1/6) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x))

rewrite207.0ms (3%)

Memory

18.7MiB live, 159.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	898	7482
0	957	7129
1	5458	7129
0	8197	6757

Stop Event

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

Counts

290 → 453

Calls

Call 1

Inputs
#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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps)
(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))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
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)))
(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) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (sin eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps)
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps)
(fma.f64 eps #s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/6 binary64) eps)
(-.f64 (sin.f64 (+.f64 x eps)) #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)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#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))
(.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)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* x (- (* 1/24 (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))))))
#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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
#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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) 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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x)))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (/ 1 (pow eps 3)))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* 1/24 (* (pow eps 2) x))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#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 (+ 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 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)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 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 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x)))))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
eps
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
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(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) 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 (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))))
(neg.f64 (-.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (sin.f64 (+.f64 eps x))))
(-.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(sin.f64 (+.f64 eps 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 (cos.f64 x) (sin.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 (cos.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps (.f64 (.f64 eps (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) eps)) x (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))) x (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 x (+.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (+.f64 (fma.f64 x (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) eps)) x (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (*.f64 eps x) #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 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 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #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) 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 (.f64 x x) #s(literal 1/120 binary64) #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) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 x x) #s(literal -1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #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) -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 (cos x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos x) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps) #s(literal 1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) x) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x))
#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 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) 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 #s(literal 1/12 binary64) eps) x #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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (cos x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 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 (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) 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 (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 (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* 1/120 (* x x)) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* x x)) -1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x)))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x)))))
#s(approx (cos x) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 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 (cos.f64 x) #s(literal -1/6 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
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#s(approx eps eps)
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#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin eps) eps)
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#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
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#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(literal 1 binary64))
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#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64))
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#s(approx (* eps eps) (*.f64 eps eps))
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#s(approx (sin eps) (sin.f64 eps))
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) x (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) eps)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) eps)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) x (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) eps)))))
#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)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval533.0ms (7.8%)

Memory: -103.6MiB live, 79.8MiB allocated; 912ms collecting garbage
Compiler: Compiled 6 597 to 2 549 computations (61.4% saved)

prune27.0ms (0.4%)

Memory

-1.7MiB live, 46.9MiB allocated; 9ms collecting garbage

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	443	9	452
Fresh	3	10	13
Picked	2	3	5
Done	0	3	3
Total	448	25	473

Accuracy

100.0%

Counts

473 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
✓	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) #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)))
✓	61.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	61.1%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #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)))
▶	60.7%	(-.f64 (sin.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	99.4%	#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 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))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
✓	99.9%	#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))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 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))) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 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)))) eps))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) 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) (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))) eps))
	99.0%	#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))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps)) #s(literal 1 binary64))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)) eps #s(literal 1 binary64)))) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))) eps))
✓	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 1 052 to 974 computations (7.4% saved)

series49.0ms (0.7%)

Memory

9.4MiB live, 97.9MiB allocated; 12ms collecting garbage

Counts

56 → 316

Calls

Call 1

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

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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #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 (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* 1/12 (pow eps 2)) 1/2)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#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 (* (+ (/ eps x) 1) x) #s(hole binary64 eps))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ (+ eps x) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/12 (* eps (pow x 3)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 eps) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* 1/12 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* x (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) 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 (* (+ (/ eps x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 1))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (+ 1 (/ eps x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x))) x)) (* 1/12 eps)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) 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 (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6)))))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* 1/12 (* eps x)) 1/2)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (/ 1 (pow eps 3)))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps))) 1/6))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (+ 1/12 (* 1/12 (/ x eps))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/12 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ 1 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/12 (pow x 2))) eps)) (* 1/12 x)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#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)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ (* 1/2 (PI)) x) 1/2 (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* -1/2 eps) x) 1) (* -1/2 eps) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) (* x x) (- (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)) (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) 1/12 (+ (* eps x) (* eps eps)) (* eps eps) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1))
9.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ (* 1/2 (PI)) x) 1/2 (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* -1/2 eps) x) 1) (* -1/2 eps) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) (* x x) (- (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)) (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) 1/12 (+ (* eps x) (* eps eps)) (* eps eps) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1))
9.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ (* 1/2 (PI)) x) 1/2 (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* -1/2 eps) x) 1) (* -1/2 eps) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) (* x x) (- (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)) (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) 1/12 (+ (* eps x) (* eps eps)) (* eps eps) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1))
6.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ (* 1/2 (PI)) x) 1/2 (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* -1/2 eps) x) 1) (* -1/2 eps) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) (* x x) (- (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)) (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) 1/12 (+ (* eps x) (* eps eps)) (* eps eps) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1))
5.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ (* 1/2 (PI)) x) 1/2 (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (+ (* (* -1/2 eps) x) 1) (* -1/2 eps) 1 (- (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)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* -1/6 eps) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) (* x x) (- (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)) (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) 1/12 (+ (* eps x) (* eps eps)) (* eps eps) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (* (+ (/ eps x) 1) x) (+ (/ eps x) 1) (/ eps x) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1))

rewrite294.0ms (4.3%)

Memory

6.1MiB live, 230.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1151	10086
0	1216	9607
1	7005	9607
0	8550	9009

Stop Event

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

Counts

372 → 560

Calls

Call 1

Inputs
#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))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
(.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))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(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))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
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)))
(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) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
#s(literal 1/2 binary64)
(PI.f64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))) eps)
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #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))
(.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #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)
(fma.f64 eps #s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #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))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/6 binary64) eps)
#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)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
#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) (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))) eps))
(.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) (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))) eps)
#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)))
(+.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))
(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)))
(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))
(fma.f64 #s(literal 1/12 binary64) (fma.f64 eps x (*.f64 eps eps)) #s(literal -1/2 binary64))
#s(literal 1/12 binary64)
(fma.f64 eps x (*.f64 eps eps))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(-.f64 (sin.f64 #s(approx (+ x eps) (.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(sin.f64 #s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 eps x) #s(literal 1 binary64))
(/.f64 eps x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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) -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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #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 (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* 1/12 (pow eps 2)) 1/2)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#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 (* (+ (/ eps x) 1) x) #s(hole binary64 eps))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ eps x)))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (/ (+ eps x) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (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 (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/12 (* eps (pow x 3)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 eps) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* 1/12 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* x (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) 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 (* (+ (/ eps x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 1))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (+ 1 (/ eps x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* 1/2 (PI)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x))) x)) (* 1/12 eps)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) 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 (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6)))))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#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 (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* 1/12 (* eps x)) 1/2)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* 1/24 (* (pow eps 3) x))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (/ 1 (pow eps 3)))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps))) 1/6))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (+ 1/12 (* 1/12 (/ x eps))))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/12 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ eps x) 1) #s(hole binary64 (* eps (+ (/ 1 eps) (/ 1 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/12 (pow x 2))) eps)) (* 1/12 x)))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)))))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #s(hole binary64 (* (pow eps 2) (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#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)))))
#s(approx (* (+ (/ eps x) 1) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(+.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
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#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (*.f64 eps x) #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 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) 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) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 x x) #s(literal -1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (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) -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 (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (+ (* 1/2 (PI)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (fma.f64 (.f64 eps x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps) #s(literal 1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (.f64 eps x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (* -1/2 eps) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 eps) x) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#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 (.f64 eps eps) #s(literal 1/12 binary64) #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 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) eps)) 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 #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 (.f64 eps eps) #s(literal 1/12 binary64) #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)) (fma.f64 (fma.f64 (fma.f64 (.f64 (+.f64 eps x) eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (fma.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 #s(literal 1/12 binary64) eps) x #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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/24) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 1/24) -1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 (+.f64 eps x) eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 (+.f64 eps x) eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 (+.f64 eps x) eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (fma.f64 (*.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 (+.f64 eps x) 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 (* (+ (/ eps x) 1) x) eps)
#s(approx (* (+ (/ eps x) 1) x) (+.f64 eps x))
#s(approx (+ (/ eps x) 1) (/.f64 eps x))
#s(approx (+ (/ eps x) 1) (/.f64 (+.f64 eps x) x))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 (PI)) x) x)
#s(approx (+ (* 1/2 (PI)) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
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#s(approx (+ (* (* -1/2 eps) x) 1) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (+ (* (* -1/2 eps) x) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) x)) 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))
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#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 (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
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#s(approx (+ (* (* x x) 1/24) -1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (* x x) 1/24) -1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
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#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (.f64 (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))) (.f64 (*.f64 x x) x)))
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#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) x)) #s(literal -1/6 binary64) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (.f64 eps eps) x) eps)))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))) (.f64 x x)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (.f64 (.f64 eps x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (.f64 (fma.f64 #s(literal 1/12 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)) x))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x))
#s(approx (+ (* eps x) (* eps eps)) (.f64 (+.f64 (/.f64 (.f64 eps eps) x) eps) 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 (* (+ (/ eps x) 1) x) x)
#s(approx (* (+ (/ eps x) 1) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (/ eps x) 1) #s(literal 1 binary64))
#s(approx (+ (/ eps x) 1) (+.f64 (/.f64 eps x) #s(literal 1 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
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#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (* 1/2 (PI)) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
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#s(approx (+ (* (* -1/2 eps) x) 1) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) x))) (.f64 (.f64 x x) x))))
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#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) eps (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) eps)) x))) #s(literal 1/2 binary64)) x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/12 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) x))) (*.f64 x x)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)))))
#s(approx (+ (* eps x) (* eps eps)) (.f64 (neg.f64 x) (+.f64 (neg.f64 eps) (neg.f64 (/.f64 (.f64 eps eps) x)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (/ eps x) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) 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 (cos.f64 x) #s(literal -1/6 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) 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))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx eps eps)
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -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 (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (cos.f64 x))
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#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(literal 1 binary64))
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#s(approx (+ (/ eps x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (/.f64 #s(literal 1/6 binary64) eps)) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (* -1/2 eps) x) 1) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#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 (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x (.f64 (/.f64 (.f64 x x) eps) #s(literal 1/2 binary64))) eps))) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/12 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/12 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 1/2 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/12 binary64)) (.f64 eps eps)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (/ eps x) 1) x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval77.0ms (1.1%)

Memory: -9.9MiB live, 146.4MiB allocated; 28ms collecting garbage
Compiler: Compiled 9 251 to 3 499 computations (62.2% saved)

prune61.0ms (0.9%)

Memory

-6.1MiB live, 40.2MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	553	8	561
Fresh	6	8	14
Picked	2	3	5
Done	1	5	6
Total	562	24	586

Accuracy

100.0%

Counts

586 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
✓	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) #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)))
	61.1%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #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)))
	99.4%	#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 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))) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
✓	99.9%	#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))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 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) (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))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #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))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 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))) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 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) (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))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 #s(literal -1/6 binary64) eps)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	99.0%	#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 #s(approx (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) #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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps)) #s(literal 1 binary64))) eps))
✓	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))) eps))
	5.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(approx (+ (* (* -1/2 eps) x) 1) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)))) eps))
✓	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 1 119 to 829 computations (25.9% saved)

regimes31.0ms (0.5%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Outputs

#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))

Calls

3 calls:

10.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	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)

regimes32.0ms (0.5%)

Memory

-2.1MiB live, 48.0MiB allocated; 9ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Outputs
#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))

Calls

3 calls:

13.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.4%)

Memory

14.5MiB live, 59.2MiB allocated; 5ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	eps
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	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)

regimes31.0ms (0.5%)

Memory

-21.3MiB live, 66.9MiB allocated; 9ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	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)

regimes23.0ms (0.3%)

Memory

-16.4MiB live, 40.5MiB allocated; 6ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.3%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`eps`
99.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.3%)

Memory

-8.0MiB live, 37.8MiB allocated; 4ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	eps
5.0ms	x
5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

-11.9MiB live, 34.9MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

5.0ms	eps
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

-20.5MiB live, 26.5MiB allocated; 1ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) #s(approx (+ (* (* -1/2 eps) x) 1) (.f64 (.f64 #s(literal -1/2 binary64) eps) x)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (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 (+ ( 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 eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (* (+ (* (* eps eps) 1/24) -1/2) x) eps) (* (* eps eps) -1/6)) 1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)) eps #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)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (+ (* eps x) (* eps eps))) -1/2) x) (* -1/2 eps)) x) (* (* eps eps) -1/6)) 1) (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	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total -59.3b remaining (-5317.5%)

Threshold costs -59.3b (-5317.5%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin 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
98.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations391.0ms (5.7%)

Memory

-2.4MiB live, 283.0MiB allocated; 60ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 203 to 123 computations (39.4% saved)

preprocess150.0ms (2.2%)

Memory: -3.2MiB live, 232.7MiB allocated; 21ms collecting garbage
Compiler: Compiled 246 to 162 computations (34.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze34.0ms (0.5%)

sample4.2s (62.1%)

preprocess33.0ms (0.5%)

series5.0ms (0.1%)

rewrite154.0ms (2.3%)

eval10.0ms (0.1%)

prune7.0ms (0.1%)

series36.0ms (0.5%)

rewrite176.0ms (2.6%)

eval63.0ms (0.9%)

prune22.0ms (0.3%)

series33.0ms (0.5%)

rewrite207.0ms (3%)

eval533.0ms (7.8%)

prune27.0ms (0.4%)

series49.0ms (0.7%)

rewrite294.0ms (4.3%)

eval77.0ms (1.1%)

prune61.0ms (0.9%)

regimes31.0ms (0.5%)

regimes32.0ms (0.5%)

regimes30.0ms (0.4%)

regimes31.0ms (0.5%)

regimes23.0ms (0.3%)

regimes18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

derivations391.0ms (5.7%)

preprocess150.0ms (2.2%)

end0.0ms (0%)

Profiling