Metrics for 2sin (example 3.3)

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze83.0ms (0.9%)

Memory

-12.3MiB live, 92.1MiB allocated; 57ms 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)

sample5.0s (56.2%)

Memory

95.2MiB live, 5 901.0MiB allocated; 2.3s collecting garbage

Samples

2.6s	26 116×	0	invalid
654.0ms	5 553×	1	valid
224.0ms	2 703×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 664.0ms (38.6% of total)

ival-fabs: 268.0ms (15.6% of total)

ival-mult!: 170.0ms (9.9% of total)

adjust: 160.0ms (9.3% of total)

ival-add!: 150.0ms (8.7% of total)

ival-<: 133.0ms (7.7% of total)

ival-sub!: 96.0ms (5.6% of total)

ival-and: 65.0ms (3.8% of total)

ival-assert: 13.0ms (0.8% of total)

Bogosity

explain100.0ms (1.1%)

Memory

-25.2MiB live, 91.1MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
217	3	(7.159342629270977e-283 2.1597836115903107e-285)	2	(2.0192904635700057e-82 3.6134735957800813e-84)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
5	0	-	1	(-18.568883842831614 0.025109290731348512)	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	218	5
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	216	3
-	3	34

Precision

0.9863013698630136

Recall

0.9863013698630136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	2	1
-	3	3	31

Precision?

0.9732142857142857

Recall?

0.9954337899543378

Freqs

test

number	freq
0	37
1	216
2	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

37.0ms	344×	1	valid
8.0ms	164×	0	valid
1.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

adjust: 13.0ms (44.4% of total)

ival-sin: 13.0ms (44.4% of total)

ival-sub!: 2.0ms (6.8% of total)

ival-add!: 2.0ms (6.8% of total)

preprocess84.0ms (1%)

Memory

-39.7MiB live, 6.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	25	50
2	32	50
3	40	50
4	53	50
5	81	50
6	140	50
7	385	50
8	1451	50
9	5230	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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	x	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	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))

rewrite211.0ms (2.4%)

Memory

29.5MiB live, 255.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	526
1	931	520
0	8567	489

Stop Event

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

Counts

42 → 105

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 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps 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 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(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 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 (+.f64 eps x))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 eps x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.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 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (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 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 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) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.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 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (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 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (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) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval14.0ms (0.2%)

Memory: -9.3MiB live, 36.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune4.0ms (0%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Accuracy

100.0%

Counts

104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.6%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	63.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 146 to 101 computations (30.8% saved)

series64.0ms (0.7%)

Memory

17.1MiB live, 117.6MiB allocated; 18ms collecting garbage

Counts

43 → 266

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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 (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* 1/6 x))) 1)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* 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 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 #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (cos x)) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x))))))) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) -1/6 (* -1/2 (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
11.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) -1/6 (* -1/2 (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
10.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) -1/6 (* -1/2 (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
9.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) -1/6 (* -1/2 (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))
8.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) -1/6 (* -1/2 (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)))

rewrite232.0ms (2.6%)

Memory

-1.0MiB live, 335.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	7040
0	1096	6646
1	6049	6626
0	8183	6338

Stop Event

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

Counts

309 → 511

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #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 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) x)
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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 (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) 1)))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* 1/6 x))) 1)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* 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 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 #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (cos x)) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x))))))) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))))
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (sin.f64 x) (sin.f64 x))) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (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))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.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 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.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 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.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 (-.f64 (.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 (.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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 (-.f64 (.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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.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) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.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 (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.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 (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x) eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) (.f64 eps eps) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (.f64 (-.f64 (.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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.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)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.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 (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64))) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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 (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps x) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 #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) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.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 (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (neg.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
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#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
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#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (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))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
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#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (cos.f64 eps) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) (cos.f64 eps)) #s(literal -1/6 binary64) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal 1/120 binary64) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
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#s(approx (- (* (cos x) (sin eps)) (sin x)) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (fma.f64 #s(literal -1 binary64) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x (sin.f64 eps)))
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#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal -1/2 binary64) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 eps) #s(literal 1/24 binary64))) (.f64 x x) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
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#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 (cos.f64 x) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#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 (-.f64 (.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 (-.f64 (.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 eps eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 (cos.f64 x) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
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#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
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#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval97.0ms (1.1%)

Memory: 5.8MiB live, 238.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 21 126 to 2 807 computations (86.7% saved)

prune81.0ms (0.9%)

Memory

-34.9MiB live, 58.4MiB allocated; 5ms collecting garbage

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	678	28	706
Fresh	0	0	0
Picked	3	5	8
Done	0	1	1
Total	681	34	715

Accuracy

100.0%

Counts

715 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
▶	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.5%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	98.9%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
▶	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
▶	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
▶	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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))
▶	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
▶	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
▶	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
▶	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))

Compiler

Compiled 897 to 605 computations (32.6% saved)

series172.0ms (1.9%)

Memory

32.5MiB live, 271.3MiB allocated; 37ms collecting garbage

Counts

175 → 648

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (* (* eps eps) x) -1/2) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* 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) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* 1/12 (* eps x)) 1/2)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* x (+ (* 1/12 eps) (* 1/12 x)))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* 1/12 eps)))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (+ (* 1/12 eps) (* 1/12 x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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))) (* -1/2 eps))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* -1/2 eps))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))))))))))))
#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 (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) (* (pow eps 2) (- (* 1/2880 (pow eps 2)) 1/240))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (+ (* 1/2880 (pow eps 2)) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) 1/240)))))) 1/2))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* -1 (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* 1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* 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 (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* x (- (* -1/6 (/ eps x)) 1/2))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (* 1/12 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/6 (/ eps (pow x 3))) (* 1/12 (/ eps x)))) (/ 1/2 (pow x 2))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (* 1/12 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* 1/12 x)))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* x (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) x)))) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/6 (/ eps x)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/12 (/ eps x)) 1/12)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/12 eps) (* 1/2 (/ 1 x))) x)) 1/12)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/6 (/ eps x))) x)) (* 1/12 eps)) x)) 1/12)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1 (/ (+ (* -1/12 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1/12 (/ eps x)) 1/12)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ (* -1 x) (* 1/2 (PI)))))) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/2 (* eps x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2)))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (* 1/3840 (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (* (* eps eps) -1/720) #s(hole binary64 (* -1/720 (pow eps 2))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ (* -1 x) (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ (* -1 x) (* 1/2 (PI))))) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* eps (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* eps (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* eps (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* eps (+ 1/12 (* 1/12 (/ x eps))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (* 1/2 (/ x eps)))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1 (* eps (+ 1/6 (* 1/2 (/ x eps)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* eps (+ 1/6 (* -1/12 (pow x 2)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2))))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps)))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1/12 (/ x eps)) 1/12)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) 1/24 (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (* (* (* eps eps) x) -1/2) (* (* eps eps) x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* eps x) -1/2) 1) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (* (* eps eps) -1/6) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (+ (* -1/6 eps) (* -1/2 x)) (* -1/2 x) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (- (* (* 1/12 (+ eps x)) x) 1/2) (* (* 1/12 (+ eps x)) x) (* 1/12 (+ eps x)) 1/12 (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/2 (sin x)) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) (sin (* 1/2 eps)) (* 1/2 eps) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (sin (/ (- (+ eps x) x) 2)) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* 1/3840 (* eps eps)) 1/48) (* 1/3840 (* eps eps)) 1/3840 1/48 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin 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rewrite268.0ms (3%)

Memory

25.4MiB live, 536.8MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2231	19204
0	2490	18854
0	8391	18328

Stop Event

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

Counts

823 → 979

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(.f64 (.f64 x x) eps)
(*.f64 x x)
x
eps
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #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 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x 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)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal -1/6 binary64)
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(.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64))
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#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
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(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
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#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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))
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(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (* (* eps eps) x) -1/2) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* 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) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* 1/12 (* eps x)) 1/2)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* x (+ (* 1/12 eps) (* 1/12 x)))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* 1/12 eps)))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (+ (* 1/12 eps) (* 1/12 x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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))) (* -1/2 eps))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* -1/2 eps))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))))))))))))
#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 (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) (* (pow eps 2) (- (* 1/2880 (pow eps 2)) 1/240))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (+ (* 1/2880 (pow eps 2)) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) 1/240)))))) 1/2))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* -1 (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* 1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* 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 (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (/ 1 x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* x (- (* -1/6 (/ eps x)) 1/2))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (* 1/12 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/6 (/ eps (pow x 3))) (* 1/12 (/ eps x)))) (/ 1/2 (pow x 2))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (* 1/12 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* 1/12 x)))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* x (+ 1/12 (* 1/12 (/ eps x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) x)))) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 eps) (/ 1 x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/6 (/ eps x)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/12 (/ eps x)) 1/12)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/12 eps) (* 1/2 (/ 1 x))) x)) 1/12)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/6 (/ eps x))) x)) (* 1/12 eps)) x)) 1/12)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1 (/ (+ (* -1/12 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1/12 (/ eps x)) 1/12)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ (* -1 x) (* 1/2 (PI)))))) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/2 (* eps x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
#s(approx (* (* eps eps) -1/6) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2)))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (* 1/3840 (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (* (* eps eps) -1/720) #s(hole binary64 (* -1/720 (pow eps 2))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ (* -1 x) (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ (* -1 x) (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ (* -1 x) (* 1/2 (PI))))) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (/ 1 eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/6))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* eps (- (* 1/12 (pow x 2)) 1/6))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* eps (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* eps (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* eps (+ 1/12 (* 1/12 (/ x eps))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (* 1/2 (/ x eps)))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (* eps x) -1/2) 1) #s(hole binary64 (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) #s(hole binary64 (* -1 (* eps (+ 1/6 (* 1/2 (/ x eps)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* eps (+ 1/6 (* -1/12 (pow x 2)))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2))))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x))))))
#s(approx (* (* 1/12 (+ eps x)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps)))))))
#s(approx (* 1/12 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1/12 (/ x eps)) 1/12)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) eps))))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(+.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps)
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(fma.f64 (sin.f64 eps) (cos.f64 (.f64 #s(literal -1 binary64) x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (.f64 #s(literal -1 binary64) x))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
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(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
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#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x)))))))
#s(approx (* (cos x) eps) (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (.f64 x x)) (*.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) eps)
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* (* x x) eps) (.f64 eps (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x x)))))
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#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
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#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
#s(approx (* (* (* eps eps) x) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* (* eps eps) x) (.f64 (.f64 eps eps) x))
#s(approx (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#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) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/2 binary64) x)))))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (+ eps x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (* eps x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* eps x) -1/2) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))
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#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))))) #s(literal 1/2 binary64))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (fma.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (fma.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (fma.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/6 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/12 (+ eps x)) x) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (* (* 1/12 (+ eps x)) x) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 #s(literal 1/12 binary64) x))))
#s(approx (* 1/12 (+ eps x)) (*.f64 #s(literal 1/12 binary64) eps))
#s(approx (* 1/12 (+ eps x)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 eps x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))))))) #s(literal 1/2 binary64)))))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x x))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (.f64 x x))))))))
#s(approx (* (sin x) eps) (.f64 x (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/10080 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) eps))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 eps (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) eps))))))))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.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)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) eps)
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps eps) (.f64 #s(literal 1/10080 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 x x))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (.f64 eps (.f64 x x))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin.f64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/120 binary64) (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/5040 binary64) (cos.f64 eps))))) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps eps) (.f64 #s(literal 1/10080 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 eps eps)) #s(literal 1/240 binary64))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 #s(literal -1/120960 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 eps eps)) #s(literal 1/240 binary64))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (*.f64 eps eps)) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/2880 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 #s(literal -1/120960 binary64) (.f64 eps eps))))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 #s(literal 1/120 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))) (.f64 eps eps))))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 eps eps))))) (*.f64 eps eps))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64))))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps)))) #s(literal 1/240 binary64))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 eps eps)) #s(literal 1/144 binary64))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64))))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps)))) #s(literal 1/240 binary64))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (*.f64 eps eps)))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)))))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (*.f64 eps eps))))) #s(literal 1/144 binary64)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64))))))) #s(literal 1/144 binary64)))))))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 x x)))))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (*.f64 x x)) #s(literal 1/144 binary64))))))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/120960 binary64) (*.f64 x x)))) #s(literal 1/144 binary64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)))))))))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (cos eps) (sin x)) (*.f64 x (cos.f64 eps)))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (cos.f64 eps))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (cos.f64 eps))))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) (cos.f64 eps)) (.f64 #s(literal 1/120 binary64) (cos.f64 eps)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (*.f64 x x)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))
#s(approx (sin (+ x (/ (PI) 2))) (cos.f64 x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (+ eps x)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (* eps x) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ (* (* eps x) -1/2) 1) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 eps eps) x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 x) (/ (PI) 2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (.f64 (.f64 x x) (-.f64 (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (* (* 1/12 (+ eps x)) x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (* (* 1/12 (+ eps x)) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (* 1/12 (+ eps x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* 1/12 (+ eps x)) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/12 binary64) (/.f64 eps x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
#s(approx (* (sin x) eps) (*.f64 eps (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) 1/2) x)
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 eps eps) (sin.f64 x)))))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)))) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal -1 binary64))) x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (* eps x) -1/2) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (.f64 eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* -1 x) (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 eps x))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)) #s(literal 1/12 binary64)))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 eps x))) x) (*.f64 #s(literal 1/12 binary64) eps)) x)) #s(literal 1/12 binary64)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) eps (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))))
#s(approx (* 1/12 (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
#s(approx eps eps)
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) eps)
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* eps eps) -1/6) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))
#s(approx (* (* eps eps) -1/6) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/12 (+ eps x)) x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (* -1/6 eps) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 eps (cos.f64 x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (fma.f64 #s(literal -1/48 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 x))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (*.f64 eps eps)))) #s(literal 1/48 binary64))))))
#s(approx (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 #s(literal 1/48 binary64) (.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (*.f64 eps eps)))) #s(literal 1/48 binary64))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (+ (* -1/6 eps) (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
#s(approx (+ (* (- (* (* 1/12 (+ eps x)) x) 1/2) x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/2 binary64))) eps) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))))))
#s(approx (- (* (* 1/12 (+ eps x)) x) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/2 binary64)) eps) (*.f64 #s(literal -1/12 binary64) x)))))
#s(approx (* (* 1/12 (+ eps x)) x) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/12 binary64) x (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 x x) eps))))))
#s(approx (* 1/12 (+ eps x)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (* 2 x) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/3840 binary64)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal -2 binary64))) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal 1/645120 binary64) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -6 binary64))))))))

eval282.0ms (3.2%)

Memory: -35.4MiB live, 554.1MiB allocated; 122ms collecting garbage
Compiler: Compiled 69 580 to 6 864 computations (90.1% saved)

prune54.0ms (0.6%)

Memory

-9.5MiB live, 135.6MiB allocated; 8ms collecting garbage

Pruning

40 alts after pruning (22 fresh and 18 done)

	Pruned	Kept	Total
New	1 755	22	1 777
Fresh	0	0	0
Picked	15	13	28
Done	1	5	6
Total	1 771	40	1 811

Accuracy

100.0%

Counts

1 811 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.6%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64)))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
▶	99.5%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
▶	99.4%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.4%	(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
▶	99.4%	(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	98.9%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
▶	99.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.4%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	98.9%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
▶	99.4%	(.f64 (.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
▶	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
▶	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
▶	5.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
▶	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
▶	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
✓	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
✓	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
✓	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
▶	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))

Compiler

Compiled 1 330 to 858 computations (35.5% saved)

series183.0ms (2.1%)

Memory

4.7MiB live, 235.3MiB allocated; 20ms collecting garbage

Counts

195 → 841

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps))
(fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
eps
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x))
#s(literal -1/2 binary64)
(*.f64 eps eps)
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(literal 1 binary64)
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
#s(literal -1/6 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) eps))
(.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))) eps)
#s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(-.f64 (.f64 (-.f64 (.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 eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
(.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps)
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
(.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps)
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))))
#s(literal -1 binary64)
(.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps)
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/6 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
(.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps)
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x))
(fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))))
(.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) #s(literal 1/2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))
#s(literal 1/12 binary64)
(.f64 #s(literal -1/240 binary64) (.f64 x x))
#s(literal -1/240 binary64)
(cos.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) eps)
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(sin.f64 x)
(sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
(fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps))
(.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps x))
(*.f64 eps x)
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (* 2 x) eps) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 2 binary64)
(.f64 (.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x)))
#s(literal -1/8 binary64)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64))
(.f64 #s(literal 1/3840 binary64) (.f64 eps eps))
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps)) #s(literal 1/48 binary64))
(.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(.f64 (.f64 eps eps) (sin.f64 x))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64)))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))) #s(literal 1/6 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))) #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps))))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))
#s(literal 1/120 binary64)
(.f64 #s(literal -1/5040 binary64) (.f64 eps eps))
#s(literal -1/5040 binary64)
#s(literal 1/6 binary64)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(.f64 (.f64 eps eps) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) (sin.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x))
(.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))
(.f64 #s(literal -1/720 binary64) (.f64 eps 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 (* (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 (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (/ (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2))))) x)))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) #s(hole binary64 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 -1))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (- (* 1/4 (pow x 4)) 1)))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/4 (* -1/24 (pow x 2)))) 1)))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (- (* (pow x 4) (+ 1/4 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/24)))) 1)))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* -1/24 (pow x 2))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/24))))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* (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) 1/24) #s(hole binary64 (* 1/24 (pow x 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 (- (* -1/2 (pow x 2)) 1)))
#s(approx (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) 1)))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* -1 (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (+ (* -1 (+ 1 (* -1/6 (pow eps 2)))) (* 1/2 (* eps x)))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (/ (+ (* -1 (+ 1 (* -1/6 (pow eps 2)))) (* 1/2 (* eps x))) x)))
#s(approx (/ (+ 1 (* -1/6 (* eps eps))) x) #s(hole binary64 (/ (+ 1 (* -1/6 (pow eps 2))) x)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1/2 x)))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 1/12))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (+ 1/12 (* -1/240 (pow x 2)))))
#s(approx (* -1/240 (* x x)) #s(hole binary64 (* -1/240 (pow x 2))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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))) (* -1/2 eps))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* -1/2 eps))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 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 (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 (+ x (* 1/2 (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (* 1/2 (PI))) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* -1/2 (* eps x)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/8 (pow eps 2))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/16 (pow eps 2)) 1/2))))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/16 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* -1/8 (pow eps 2))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/8 (pow eps 2)))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/16 (* (pow eps 2) x)))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* 1/16 (pow eps 2)) (* 1/12 (* eps x)))))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (* -1/8 eps)))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/8 eps))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/8 eps) (* x (- (* 1/16 (* eps x)) 1/2)))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/8 eps) (* x (- (* x (+ (* 1/16 eps) (* 1/12 x))) 1/2)))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (* -1/8 eps)))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* 1/16 (* eps (pow x 2))))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* (pow x 2) (+ (* -1/192 (* eps (pow x 2))) (* 1/16 eps))))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* (pow x 2) (+ (* 1/16 eps) (* (pow x 2) (+ (* -1/192 eps) (* 1/5760 (* eps (pow x 2))))))))))
#s(approx (* eps (cos x)) #s(hole binary64 eps))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* x (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))) (* 2 (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* x (+ (* 2 (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* -1/3 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))) (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* -1/6 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))))) (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 eps) (* 1/2 (PI))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (cos (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (* -1/2 (* x (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ (* 1/2 eps) (* 1/2 (PI))))) (* -1/6 (* x (cos (+ (* 1/2 eps) (* 1/2 (PI)))))))))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (PI)))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (+ x (+ (* 1/2 eps) (* 1/2 (PI))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 eps) (cos x)) #s(hole binary64 (sin eps)))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) (* (pow eps 2) (- (* 1/2880 (pow eps 2)) 1/240))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (+ (* 1/2880 (pow eps 2)) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) 1/240)))))) 1/2))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* -1 (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* 1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- 1/576 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 8)))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 8) (- 1/576 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- 1/24 (* 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 (- (* (- (* (* 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 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps x))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* x (- (* -1/6 (/ eps x)) 1/2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1/240 (pow x 5))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* -1/240 (pow x 4))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* -1/240 (pow x 4))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (* -1/240 (pow x 2))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (sin x) #s(hole binary64 (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 (+ x (* 1/2 (PI))) #s(hole binary64 x))
#s(approx (+ x (* 1/2 (PI))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 x))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (* -1/8 (* eps (cos x)))))
#s(approx (* eps (cos x)) #s(hole binary64 (* eps (cos x))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ eps x)) (* 1/2 (/ (PI) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) x)))) (sin x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* -1 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x)))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/6 (/ eps x)))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/240 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ x (* 1/2 (PI))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 eps) (* 1/2 (PI))) x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/8 (cos x))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/8 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* eps (- (* 1/24 (* x x)) 1/2)) eps (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) x 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) -1/2 (* eps eps) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) (* eps (+ 1 (* -1/6 (* eps eps)))) (+ 1 (* -1/6 (* eps eps))) 1 (* -1/6 (* eps eps)) -1/6 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) (* (- (* (* x x) 1/24) 1/2) (* x x)) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (sin (+ (* -1 x) (/ (PI) 2))) (sin (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)) (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (/ (+ 1 (* -1/6 (* eps eps))) x) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (* eps (+ (* -1/2 x) (* -1/6 eps))) (+ (* -1/2 x) (* -1/6 eps)) (* -1/6 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (* -1/2 (sin x)) (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (* (* x x) (+ 1/12 (* -1/240 (* x x)))) (+ 1/12 (* -1/240 (* x x))) 1/12 (* -1/240 (* x x)) -1/240 (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) (* -1/2 (sin x)) (sin x) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (+ x (* 1/2 (PI))) (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* -1/2 (* eps x)) (* eps x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ x (* 1/2 eps)) (sin (* 1/2 eps)) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (* -1/8 (* eps (cos x))) -1/8 (* eps (cos x)) (* 1/2 (sin x)) (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (sin (/ (- (+ eps x) x) 2)) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* 1/3840 (* eps eps)) 1/48) (* 1/3840 (* eps eps)) 1/3840 1/48 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (/ (PI) 2) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (* (sin eps) (cos x)) (sin eps) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* (* eps eps) (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6))) (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6) (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) (+ 1/120 (* -1/5040 (* eps eps))) 1/120 (* -1/5040 (* eps eps)) -1/5040 1/6 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) -1/720 (* 1/24 (sin x)) (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2))) (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2)) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2) (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) (+ 1/24 (* -1/720 (* eps eps))) (* -1/720 (* eps eps)))
34.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* eps (- (* 1/24 (* x x)) 1/2)) eps (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) x 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) -1/2 (* eps eps) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) (* eps (+ 1 (* -1/6 (* eps eps)))) (+ 1 (* -1/6 (* eps eps))) 1 (* -1/6 (* eps eps)) -1/6 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) (* (- (* (* x x) 1/24) 1/2) (* x x)) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (sin (+ (* -1 x) (/ (PI) 2))) (sin (- (* 1/2 (PI)) x)) (- (* 1/2 (PI)) x) (* 1/2 (PI)) (PI) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (/ (+ 1 (* -1/6 (* eps eps))) x) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (+ (* (* eps x) -1/2) (* (* eps 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rewrite399.0ms (4.5%)

Memory

41.7MiB live, 734.8MiB allocated; 174ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2674	26454
0	2957	25454
0	9583	24687

Stop Event

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

Counts

1 036 → 1 186

Calls

Call 1

Inputs
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eps
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#s(literal 1/12 binary64)
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#s(literal -1/240 binary64)
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#s(literal 1/120 binary64)
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#s(literal -1/5040 binary64)
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#s(literal -1/720 binary64)
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#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* -1/2 eps)))
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#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
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#s(approx (cos x) #s(hole binary64 1))
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#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
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#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* -1/2 (pow x 2))))
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#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 -1/2))
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#s(approx (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (- (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) 1)))
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#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* -1 (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (+ (* -1 (+ 1 (* -1/6 (pow eps 2)))) (* 1/2 (* eps x)))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (/ (+ (* -1 (+ 1 (* -1/6 (pow eps 2)))) (* 1/2 (* eps x))) x)))
#s(approx (/ (+ 1 (* -1/6 (* eps eps))) x) #s(hole binary64 (/ (+ 1 (* -1/6 (pow eps 2))) x)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1/2 x)))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 1/12))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (+ 1/12 (* -1/240 (pow x 2)))))
#s(approx (* -1/240 (* x x)) #s(hole binary64 (* -1/240 (pow x 2))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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))) (* -1/2 eps))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* -1/2 eps))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 eps)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* -1/2 eps)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* -1/2 eps) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* 1/12 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 (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 (+ x (* 1/2 (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (* 1/2 (PI))) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* -1/2 (* eps x)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (* -1/8 (pow eps 2)))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/8 (pow eps 2))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/16 (pow eps 2)) 1/2))))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ 1 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/16 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* -1/8 (pow eps 2))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/8 (pow eps 2)))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/16 (* (pow eps 2) x)))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (+ (* -1/8 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* 1/16 (pow eps 2)) (* 1/12 (* eps x)))))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (* -1/8 eps)))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/8 eps))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/8 eps) (* x (- (* 1/16 (* eps x)) 1/2)))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/8 eps) (* x (- (* x (+ (* 1/16 eps) (* 1/12 x))) 1/2)))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (* -1/8 eps)))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* 1/16 (* eps (pow x 2))))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* (pow x 2) (+ (* -1/192 (* eps (pow x 2))) (* 1/16 eps))))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (+ (* -1/8 eps) (* (pow x 2) (+ (* 1/16 eps) (* (pow x 2) (+ (* -1/192 eps) (* 1/5760 (* eps (pow x 2))))))))))
#s(approx (* eps (cos x)) #s(hole binary64 eps))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* eps (cos x)) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* x (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))) (* 2 (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* x (+ (* 2 (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* -1/3 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps)))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))) (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI)))))) (* -1/6 (* x (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))))) (* (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (sin (* 1/2 eps))))) (* (sin (* 1/2 eps)) (sin (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 eps) (* 1/2 (PI))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (cos (+ (* 1/2 eps) (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (* -1/2 (* x (sin (+ (* 1/2 eps) (* 1/2 (PI)))))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (cos (+ (* 1/2 eps) (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ (* 1/2 eps) (* 1/2 (PI))))) (* -1/6 (* x (cos (+ (* 1/2 eps) (* 1/2 (PI)))))))))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (PI)))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (+ x (+ (* 1/2 eps) (* 1/2 (PI))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 eps) (cos x)) #s(hole binary64 (sin eps)))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/144 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) (* (pow eps 2) (- (* 1/2880 (pow eps 2)) 1/240))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (* 1/2880 (pow eps 2)) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* 1/24 (pow eps 2)) (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* (pow x 2) (- (+ (* 1/2880 (pow eps 2)) (* (pow x 2) (+ 1/10080 (* -1/120960 (pow eps 2))))) 1/240)))))) 1/2))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* -1 (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1 (* (cos (* 1/2 (PI))) (sin eps))) (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* 1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* 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) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- 1/576 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 8)))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 8) (- 1/576 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) #s(hole binary64 (* (pow x 8) (- (+ 1/576 (/ 1/4 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- 1/24 (* 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 (- (* (- (* (* 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 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps x))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) #s(hole binary64 (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* x (- (* -1/6 (/ eps x)) 1/2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1/240 (pow x 5))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* -1/240 (pow x 4))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* -1/240 (pow x 4))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (* -1/240 (pow x 2))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/240))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (sin x) #s(hole binary64 (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 (+ x (* 1/2 (PI))) #s(hole binary64 x))
#s(approx (+ x (* 1/2 (PI))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 x))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
#s(approx (* -1/8 (* eps (cos x))) #s(hole binary64 (* -1/8 (* eps (cos x)))))
#s(approx (* eps (cos x)) #s(hole binary64 (* eps (cos x))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (+ eps (* 2 x)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ eps x)) (* 1/2 (/ (PI) x)))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (* (sin eps) (cos x)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) x)))) (sin x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (sin (- (* 1/2 (PI)) x)) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (- (* 1/2 (PI)) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(hole binary64 (* -1 (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x)))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) #s(hole binary64 (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/6 (/ eps x)))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/240 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos 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 (+ x (* 1/2 (PI))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ x (* 1/2 eps)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- eps (* -2 x)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 eps) (* 1/2 (PI))) x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ (* -1 x) (* 1/2 (PI)))))) (sin x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* -1/2 (* eps x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) #s(hole binary64 (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 eps))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* eps (+ 1 (* -1/2 (* eps x))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) #s(hole binary64 (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (/ eps x)))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (* eps (+ (* -1/2 eps) (/ 1 x)))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) #s(hole binary64 (* eps (+ (* eps (- (* -1/6 (/ eps x)) 1/2)) (/ 1 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) #s(hole binary64 (/ eps x)))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) #s(hole binary64 (* eps (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x)))))
#s(approx (* eps (+ 1 (* -1/6 (* eps eps)))) #s(hole binary64 eps))
#s(approx (* eps (+ 1 (* -1/6 (* eps eps)))) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ 1 (* -1/6 (* eps eps))) #s(hole binary64 1))
#s(approx (+ 1 (* -1/6 (* eps eps))) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
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#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
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#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) #s(hole binary64 (cos x)))
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#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x)))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
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#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
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#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
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#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (* 1/3840 (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
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#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
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#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
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#s(approx (* (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps)))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x))) (.f64 eps eps)) (-.f64 (.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) eps))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) (-.f64 (.f64 eps eps) (.f64 (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) eps))))
(fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)
(+.f64 (.f64 #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x)) eps)
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
eps
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (-.f64 (.f64 (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))
#s(literal -1/2 binary64)
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))) (neg.f64 x))
(/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(literal 1 binary64)
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
#s(literal -1/6 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (-.f64 (.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 (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(.f64 (fabs.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) (fabs.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (.f64 (-.f64 (.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 eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
(.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps)
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))
(-.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x x (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
(.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps)
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))))
#s(literal -1 binary64)
(.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x)) (.f64 #s(literal 1/2 binary64) eps))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (neg.f64 x))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 eps eps)) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps))))
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(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))
(.f64 #s(literal -1/720 binary64) (.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
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#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) eps)
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#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) (*.f64 #s(literal -1/2 binary64) eps))
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#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
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#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
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#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
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#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 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
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#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps x) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64))))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) x)))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x))) x))
#s(approx (/ (+ 1 (* -1/6 (* eps eps))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 x (-.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 eps (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))))) #s(literal 1/2 binary64))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/12 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/10080 binary64) (*.f64 x x)) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 x (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x)))))
#s(approx (+ 1/12 (* -1/240 (* x x))) #s(literal 1/12 binary64))
#s(approx (+ 1/12 (* -1/240 (* x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (.f64 x x))))
#s(approx (* -1/240 (* x x)) (.f64 #s(literal -1/240 binary64) (.f64 x x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) eps))) (.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))) (.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 eps (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (fma.f64 eps (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x (fma.f64 eps (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/12 binary64) eps))))))))))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ x (/ (PI) 2))) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.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)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ x (* 1/2 (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (* 1/2 (PI))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) eps)
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (+.f64 eps (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps eps) (.f64 #s(literal 1/10080 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 x x))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/12 binary64) eps))))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) eps (.f64 #s(literal 1/10080 binary64) (.f64 eps (.f64 x x))))))))))
#s(approx (* -1/2 (* eps x)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/3 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) 1/2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ x (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ x (* 1/2 eps)) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 eps eps))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/8 binary64) (*.f64 eps eps)))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 eps x))) #s(literal 1/2 binary64))))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (.f64 #s(literal -1/8 binary64) (.f64 eps eps)))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (fma.f64 #s(literal -1/2 binary64) (.f64 eps x) (.f64 #s(literal -1/8 binary64) (*.f64 eps eps))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (fma.f64 #s(literal -1/8 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/16 binary64) (.f64 (*.f64 eps eps) x))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (fma.f64 #s(literal -1/8 binary64) (.f64 eps eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 x (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 eps x))))))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (*.f64 #s(literal -1/8 binary64) eps))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/8 binary64) eps)))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/16 binary64) eps (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (* -1/8 (* eps (cos x))) (*.f64 #s(literal -1/8 binary64) eps))
#s(approx (* -1/8 (* eps (cos x))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 #s(literal 1/16 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* -1/8 (* eps (cos x))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/192 binary64) (.f64 eps (.f64 x x)) (*.f64 #s(literal 1/16 binary64) eps)))))
#s(approx (* -1/8 (* eps (cos x))) (fma.f64 #s(literal -1/8 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/16 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/192 binary64) eps (.f64 #s(literal 1/5760 binary64) (.f64 eps (*.f64 x x)))))))))
#s(approx (* eps (cos x)) eps)
#s(approx (* eps (cos x)) (+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x x)))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x)))))))
#s(approx (* eps (cos x)) (+.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 eps (.f64 x x)) (*.f64 #s(literal 1/24 binary64) eps)))))))
#s(approx (* 1/2 (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))))
#s(approx (* 1/2 (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (*.f64 x x)))) #s(literal 1/12 binary64))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 x (fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin.f64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (+.f64 (sin.f64 eps) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64)))))
#s(approx (* (sin eps) (cos x)) (sin.f64 eps))
#s(approx (* (sin eps) (cos x)) (+.f64 (sin.f64 eps) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) (sin.f64 eps)))))
#s(approx (* (sin eps) (cos x)) (+.f64 (sin.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) (sin.f64 eps)))))))
#s(approx (* (sin eps) (cos x)) (+.f64 (sin.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/120 binary64) (cos.f64 eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/5040 binary64) (cos.f64 eps))))) #s(literal 1/120 binary64))))))) #s(literal 1 binary64))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 eps eps)))))))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/240 binary64) (.f64 eps eps) (.f64 #s(literal 1/10080 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 eps eps)) #s(literal 1/240 binary64))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 #s(literal -1/120960 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 eps eps)) #s(literal 1/240 binary64))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (*.f64 eps eps)) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/2880 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 #s(literal -1/120960 binary64) (.f64 eps eps))))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (*.f64 eps eps))))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 #s(literal 1/120 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))) (.f64 eps eps))))
#s(approx (* (* eps eps) (sin x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 eps eps))))) (*.f64 eps eps))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (.f64 x (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64))))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps)))) #s(literal 1/240 binary64))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 eps eps)) #s(literal 1/144 binary64))))))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 x (fma.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64))))) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps)))) #s(literal 1/240 binary64))))))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (*.f64 eps eps)))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 x (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 eps eps) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps))) (.f64 (.f64 x x) (+.f64 #s(literal 1/10080 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)))))) #s(literal 1/240 binary64))))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/86400 binary64) (*.f64 eps eps))))) #s(literal 1/144 binary64)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 x (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64))))))) #s(literal 1/144 binary64)))))))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 x x)))))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2880 binary64) (*.f64 x x)) #s(literal 1/144 binary64))))))
#s(approx (* 1/24 (sin x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2880 binary64) (.f64 #s(literal -1/120960 binary64) (*.f64 x x)))) #s(literal 1/144 binary64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)))))))))) #s(literal 1 binary64)) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (cos eps) (sin x)) (*.f64 x (cos.f64 eps)))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (cos.f64 eps))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) (cos.f64 eps))))))))
#s(approx (* (cos eps) (sin x)) (.f64 x (+.f64 (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) (cos.f64 eps)) (.f64 #s(literal 1/120 binary64) (cos.f64 eps)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (*.f64 #s(literal 1/24 binary64) eps))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (.f64 #s(literal 1/24 binary64) eps))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 x x))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (.f64 x x)) (.f64 #s(literal 1/24 binary64) eps))))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) x)))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x)))
#s(approx (sin (+ x (/ (PI) 2))) (cos.f64 x))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -8 binary64))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* (* x x) 1/24) 1/2) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (.f64 eps (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (sin (- (* 1/2 (PI)) x)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
#s(approx (- (* 1/2 (PI)) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* 1/2 (PI)) x) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (.f64 #s(literal 1/2 binary64) (.f64 eps x)))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 eps eps) x)))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (.f64 #s(literal -1/2 binary64) (.f64 eps x)))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 eps eps) x)))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 eps x)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x)))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (/ (- (* (* (- (* (* x x) 1/24) 1/2) (* x x)) (* (- (* (* x x) 1/24) 1/2) (* x x))) 1) (- (* (- (* (* x x) 1/24) 1/2) (* x x)) 1)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/240 binary64))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/240 binary64))))
#s(approx (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ 1/12 (* -1/240 (* x x)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/240 binary64))))
#s(approx (+ 1/12 (* -1/240 (* x x))) (.f64 #s(literal -1/240 binary64) (.f64 x x)))
#s(approx (+ 1/12 (* -1/240 (* x x))) (.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/240 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x)))))))
#s(approx (sin x) (sin.f64 x))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ x (* 1/2 (PI))) x)
#s(approx (+ x (* 1/2 (PI))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))
#s(approx (* (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) 1/2) x)
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (+ x (* 1/2 eps)) x)
#s(approx (+ x (* 1/2 eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
#s(approx (* -1/8 (* eps (cos x))) (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))))
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* 1/2 (sin x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x)))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 #s(literal 2 binary64) x))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) x)
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)))
#s(approx (* (sin eps) (cos x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/24) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (*.f64 eps eps) (sin.f64 x)))))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) x)))) (sin.f64 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 x) (/ (PI) 2)) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
#s(approx (* (sin (+ (* -1 x) (/ (PI) 2))) eps) (.f64 eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (- (* 1/2 (PI)) x)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (* 1/2 (PI)) x) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64)))))))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps eps) x) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 eps x))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (* x (- (* (* x x) (+ 1/12 (* -1/240 (* x x)))) 1/2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (+ x (* 1/2 (PI))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ x (* 1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x)))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 eps (.f64 #s(literal -2 binary64) x))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (+ (* (sin eps) (sin (+ (* -1 x) (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (sin.f64 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 eps (cos.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* eps (- (* 1/24 (* x x)) 1/2)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
#s(approx eps eps)
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) eps)
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) eps)
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (/.f64 eps x))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (.f64 eps (fma.f64 eps (-.f64 (.f64 #s(literal -1/6 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) (/.f64 eps x))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* eps (+ 1 (* -1/6 (* eps eps)))) eps)
#s(approx (* eps (+ 1 (* -1/6 (* eps eps)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (* eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (* -1/6 (* eps eps)) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) #s(literal 1 binary64))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps x))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) #s(literal -1 binary64))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps x)) #s(literal 1 binary64)))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (-.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (/.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (-.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 eps x)))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ 1 (* -1/6 (* eps eps))) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ 1 (* -1/6 (* eps eps))) x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 eps eps) x) (pow.f64 x #s(literal -1 binary64))))
#s(approx (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))
#s(approx (* eps (+ (* -1/2 x) (* -1/6 eps))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps))))
#s(approx (* -1/6 eps) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 eps (cos.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* eps eps) -1/6) 1) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 eps (cos.f64 x)))
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#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (cos.f64 x) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
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#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 x))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
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#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (sin (* 1/2 eps)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
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#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (cos.f64 x))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
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#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (cos.f64 x))
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#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
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#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
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#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64))
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#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
#s(approx (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64))
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#s(approx (- (* 1/3840 (* eps eps)) 1/48) #s(literal -1/48 binary64))
#s(approx (- (* 1/3840 (* eps eps)) 1/48) (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)))
#s(approx (* 1/3840 (* eps eps)) (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64))))))
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#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64))
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#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (.f64 eps eps)))) #s(literal 1/48 binary64)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(literal -1/48 binary64))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)))
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#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (.f64 eps eps)))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(literal 1/3840 binary64))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (+.f64 #s(literal 1/3840 binary64) (.f64 #s(literal -1/645120 binary64) (.f64 eps eps))))
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#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 eps (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/24 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/16 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (+.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/48 binary64) (.f64 eps (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (*.f64 eps (cos.f64 x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (cos.f64 x))))))))
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#s(approx (sin eps) eps)
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#s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64))))))
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#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) (sin.f64 x))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (*.f64 eps eps))))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (*.f64 eps eps)))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (sin.f64 x))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (*.f64 eps eps))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (*.f64 eps eps)))))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 #s(literal -1/720 binary64) (.f64 (*.f64 eps eps) (sin.f64 x))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 x) (.f64 eps eps))))))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2))) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2))) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64)) (pow.f64 eps #s(literal -6 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2)) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (* (* eps eps) (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (- (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) 1/2) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
#s(approx (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (* eps eps) (+ 1/24 (* -1/720 (* eps eps)))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (+ 1/24 (* -1/720 (* eps eps))) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))
#s(approx (+ 1/24 (* -1/720 (* eps eps))) (.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/720 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) #s(literal 1 binary64)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
#s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 eps #s(literal -1 binary64))) eps))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
#s(approx (* x (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 eps #s(literal -1 binary64))) eps))))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))))))
#s(approx (+ (* -1/2 (* eps eps)) (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) eps) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))))))
#s(approx (/ (* eps (+ 1 (* -1/6 (* eps eps)))) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (.f64 (*.f64 eps eps) x) #s(literal -1 binary64))))))
#s(approx (* eps (+ 1 (* -1/6 (* eps eps)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal -2 binary64))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 eps #s(literal -1 binary64))) eps)) #s(literal 1/6 binary64))))
#s(approx (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 eps #s(literal -1 binary64))) eps)) #s(literal 1/6 binary64))))
#s(approx (* x (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps))) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (pow.f64 eps #s(literal -1 binary64))) eps)))))
#s(approx (+ (* -1 (/ (+ 1 (* -1/6 (* eps eps))) x)) (* 1/2 eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 eps x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) eps) (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (+ (* -1/2 x) (* -1/6 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 x) eps))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)) eps) (.f64 #s(literal 1/6 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (+ x (* 1/2 eps)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (cos.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))))) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) (.f64 #s(literal -1/8 binary64) (cos.f64 x)))))
#s(approx (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal -2 binary64))) #s(literal 1/3840 binary64)))))
#s(approx (* (+ (* (- (* 1/3840 (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal -2 binary64))) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal 1/645120 binary64) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -6 binary64))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))))
#s(approx (* (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (sin (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal -2 binary64)))))))
#s(approx (* eps (+ 1 (* (* eps eps) (- (* (* eps eps) (+ 1/120 (* -1/5040 (* eps eps)))) 1/6)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal -2 binary64)) (pow.f64 eps #s(literal -6 binary64)))))))

eval310.0ms (3.5%)

Memory: -10.8MiB live, 659.0MiB allocated; 131ms collecting garbage
Compiler: Compiled 105 232 to 8 935 computations (91.5% saved)

prune91.0ms (1%)

Memory

37.0MiB live, 176.5MiB allocated; 11ms collecting garbage

Pruning

43 alts after pruning (9 fresh and 34 done)

	Pruned	Kept	Total
New	2 066	9	2 075
Fresh	0	0	0
Picked	6	16	22
Done	0	18	18
Total	2 072	43	2 115

Accuracy

100.0%

Counts

2 115 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (sin.f64 eps) (sin.f64 #s(approx (+ (* -1 x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x)))
✓	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	99.6%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64)))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
✓	99.5%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
✓	99.4%	(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.4%	(+.f64 (.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
	99.4%	(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
	98.9%	(.f64 (.f64 (sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (sin.f64 #s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	98.9%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
✓	99.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.4%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	98.9%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) #s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x)))))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
✓	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
✓	5.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
✓	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
✓	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
✓	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
✓	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
✓	96.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
✓	96.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
✓	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))

Compiler

Compiled 3 806 to 1 446 computations (62% saved)

regimes71.0ms (0.8%)

Memory

-15.2MiB live, 81.1MiB allocated; 11ms collecting garbage

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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 (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 #s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 (.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (+.f64 x (.f64 #s(literal 1/2 binary64) (PI.f64)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) #s(approx (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x)))))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (cos (/ (+ (+ eps x) x) 2)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (sin.f64 #s(approx (+ (* -1 x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64))))) (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(approx (sin eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) #s(literal 1/6 binary64)))))) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (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 eps) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))

Outputs

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

Calls

3 calls:

28.0ms	eps
23.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms	x

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 9 to 10 computations (-11.1% saved)

regimes55.0ms (0.6%)

Memory

-17.8MiB live, 75.9MiB allocated; 4ms collecting garbage

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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 (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 #s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 #s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) #s(approx ( -1/2 (sin x)) (.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) eps (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))

Outputs

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

Calls

3 calls:

28.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms	eps
10.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.4%)

Memory

4.4MiB live, 69.9MiB allocated; 9ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes41.0ms (0.5%)

Memory

15.0MiB live, 62.5MiB allocated; 1ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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 (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 #s(approx (+ (/ (+ (+ eps x) x) 2) (/ (PI) 2)) (+.f64 x (fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

23.0ms	x
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes43.0ms (0.5%)

Memory

-5.4MiB live, 84.5MiB allocated; 5ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (* (* eps eps) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 #s(approx (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 eps (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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 (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (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 (* (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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 (* -1/6 (* eps eps))) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(approx (+ (* (+ (* (* eps eps) -1/6) 1) eps) (* (* (* eps eps) x) -1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(approx (+ (+ (* (* eps x) -1/2) (* (* eps eps) -1/6)) 1) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) x) (*.f64 #s(literal 1/2 binary64) eps)))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(approx (- ( (* x x) 1/24) 1/2) #s(literal -1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos x) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.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 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (sin (+ ( -1 x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 #s(approx ( (* (sin x) eps) -1/2) (.f64 #s(literal -1/2 binary64) (.f64 eps x))) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

19.0ms	eps
15.0ms	x
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.4%)

Memory

14.9MiB live, 63.7MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	eps
7.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes43.0ms (0.5%)

Memory

-17.4MiB live, 63.4MiB allocated; 26ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.3%)

Memory

17.9MiB live, 59.2MiB allocated; 15ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	eps

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes41.0ms (0.5%)

Memory

-9.6MiB live, 48.4MiB allocated; 30ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
5.0ms	eps
5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

-13.9MiB live, 35.7MiB allocated; 4ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.4%	1	`x`
97.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

30.9MiB live, 30.9MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.4%	1	`x`
97.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

-31.2MiB live, 16.2MiB allocated; 1ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

-34.4MiB live, 12.6MiB allocated; 2ms collecting garbage

Accuracy

Total -58.7b remaining (-3011%)

Threshold costs -58.7b (-3011%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`
97.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations585.0ms (6.6%)

Memory

2.3MiB live, 720.2MiB allocated; 154ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 481 to 145 computations (69.9% saved)

preprocess92.0ms (1%)

Memory: 40.3MiB live, 133.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 1 006 to 328 computations (67.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze83.0ms (0.9%)

sample5.0s (56.2%)

explain100.0ms (1.1%)

preprocess84.0ms (1%)

series5.0ms (0.1%)

rewrite211.0ms (2.4%)

eval14.0ms (0.2%)

prune4.0ms (0%)

series64.0ms (0.7%)

rewrite232.0ms (2.6%)

eval97.0ms (1.1%)

prune81.0ms (0.9%)

series172.0ms (1.9%)

rewrite268.0ms (3%)

eval282.0ms (3.2%)

prune54.0ms (0.6%)

series183.0ms (2.1%)

rewrite399.0ms (4.5%)

eval310.0ms (3.5%)

prune91.0ms (1%)

regimes71.0ms (0.8%)

regimes55.0ms (0.6%)

regimes31.0ms (0.4%)

regimes41.0ms (0.5%)

regimes43.0ms (0.5%)

regimes37.0ms (0.4%)

regimes43.0ms (0.5%)

regimes31.0ms (0.3%)

regimes41.0ms (0.5%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

derivations585.0ms (6.6%)

preprocess92.0ms (1%)

end0.0ms (0%)

Profiling