Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze29.0ms (0.4%)

Memory

36.6MiB live, 36.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.6s (70.2%)

Memory

-77.8MiB live, 4 072.9MiB allocated; 2.0s collecting garbage

Samples

2.1s	26 352×	0	invalid
1.1s	5 546×	1	valid
204.0ms	2 710×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-add!: 728.0ms (32% of total)

ival-sin: 610.0ms (26.8% of total)

ival-fabs: 248.0ms (10.9% of total)

ival-<: 243.0ms (10.7% of total)

adjust: 139.0ms (6.1% of total)

ival-mult!: 133.0ms (5.8% of total)

ival-sub!: 94.0ms (4.1% of total)

ival-and: 66.0ms (2.9% of total)

ival-assert: 14.0ms (0.6% of total)

Bogosity

explain116.0ms (1.7%)

Memory

13.9MiB live, 104.2MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
232	3	(-1.850409177714507e-304 3.8644703780191705e-307)	6	(5.9602954035502565e-36 9.21258888489744e-38)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0	0	-	0	-	`(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	229	7

Confusion

	Predicted +	Predicted -
+	226	6
-	3	21

Precision

0.9868995633187773

Recall

0.9741379310344828

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	226	6	0
-	3	1	20

Precision?

0.9830508474576272

Recall?

1.0

Freqs

test

number	freq
0	27
1	229

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	378×	1	valid
18.0ms	132×	0	valid
3.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 15.0ms (55.2% of total)

adjust: 8.0ms (29.4% of total)

ival-sub!: 2.0ms (7.4% of total)

ival-add!: 2.0ms (7.4% of total)

preprocess88.0ms (1.3%)

Memory

-25.3MiB live, 17.5MiB allocated; 14ms 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
▶	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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))

rewrite165.0ms (2.5%)

Memory

27.2MiB live, 170.7MiB allocated; 32ms 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: -22.6MiB live, 21.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 915 to 372 computations (80.6% saved)

prune7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Accuracy

100.0%

Counts

97 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	35.7%	(/.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))))
▶	99.6%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	59.1%	(.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))
	97.4%	#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)))
▶	99.6%	#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))
	99.5%	#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))
▶	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 395 to 268 computations (32.2% saved)

series53.0ms (0.8%)

Memory

-20.7MiB live, 51.2MiB allocated; 32ms collecting garbage

Counts

27 → 164

Calls

Call 1

Inputs
#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 (sin.f64 x) eps)
(sin.f64 x)
x
eps
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(neg.f64 (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 (* (+ (* (+ (* (+ (* 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 (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -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 (* (+ (* (* (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) (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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (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 (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (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 (* (+ (* (+ (* (+ (* 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 eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (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 eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 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 (* 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 (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 eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 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 (* (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 (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	eps	@	0	((- (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 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)))
5.0ms	x	@	inf	((- (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 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)))
5.0ms	x	@	0	((- (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 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)))
5.0ms	x	@	-inf	((- (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 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)))
4.0ms	eps	@	-inf	((- (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 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (cos eps) (- (* (cos x) (sin eps)) (sin x)) (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)))

rewrite202.0ms (3.1%)

Memory

20.2MiB live, 155.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	682	4281
0	731	4065
1	4257	4065
0	8370	3904

Stop Event

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

Counts

191 → 310

Calls

Call 1

Inputs
#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 (sin.f64 x) eps)
(sin.f64 x)
x
eps
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(neg.f64 (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 (* (+ (* (+ (* (+ (* 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 (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -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 (* (+ (* (* (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) (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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (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 (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (sin x)) #s(hole binary64 (- (* (cos x) (sin eps)) (sin x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (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 (* (+ (* (+ (* (+ (* 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 eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (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 eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (* (cos x) (sin eps)) (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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 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 (* 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 (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 eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 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 (* (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 (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Outputs
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #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 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
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(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal -1 binary64) (sin.f64 x))
(fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)) (sin.f64 x))
(-.f64 (sin.f64 x) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (PI.f64)) (*.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 x))
(sin.f64 (+.f64 x (PI.f64)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (sin.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (fma.f64 (-.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 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (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 (* (+ (* (+ (* (+ (* 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 eps eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.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)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (-.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 #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))) 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 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.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 (-.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 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (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 x x)
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.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 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 (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #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 (* (+ (* (* (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 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (sin.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (fma.f64 (-.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 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (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) (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)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal -1/2 binary64) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (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 x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (.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) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 eps)) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (cos.f64 eps)) #s(literal 1/5040 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (neg.f64 x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#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 (fma.f64 (cos.f64 x) #s(literal -1/6 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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #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 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (-.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 x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (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) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #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)) 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)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -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 (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx eps 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (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) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (sin x)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal 1/120 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal 1/120 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.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 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 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 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#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) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#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) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.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 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #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 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (-.f64 (sin.f64 (-.f64 x (neg.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 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.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 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))

eval66.0ms (1%)

Memory: -14.0MiB live, 89.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 628 to 1 765 computations (86% saved)

prune17.0ms (0.3%)

Memory

-9.4MiB live, 36.1MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	400	10	410
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	404	18	422

Accuracy

100.0%

Counts

422 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps)) (sin.f64 x)))
✓	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	35.7%	(/.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 (+.f64 eps x)) (sin.f64 x)))
✓	99.6%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
▶	99.7%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.1%	#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)))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 #s(approx (sin x) 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))
	99.5%	#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))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.6%	#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))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
▶	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
▶	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 678 to 452 computations (33.3% saved)

series57.0ms (0.9%)

Memory

10.0MiB live, 100.3MiB allocated; 23ms collecting garbage

Counts

41 → 220

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (+ (* 1/144 (pow eps 2)) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) 1/12)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (+ (* 1/144 (pow eps 2)) (* (pow x 2) (+ 1/240 (+ (* -1/2880 (pow eps 2)) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080)))))) 1/12)))))))
#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 (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* (+ (* (+ (* (+ (* 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 (* -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 (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos 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)))))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (* (cos (* 1/2 (PI))) (sin eps)) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (* -1/6 (* (cos (* 1/2 (PI))) (sin eps))))))) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (* (cos (* 1/2 (PI))) (sin eps))) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* -1/6 (* x (* (cos (* 1/2 (PI))) (sin eps)))))) (* (cos (* 1/2 (PI))) (sin eps)))) (* (sin eps) (sin (* 1/2 (PI)))))))
#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) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (* (+ (* (+ (* 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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ x (* 1/2 (PI)))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* (sin eps) (sin (+ x (* 1/2 (PI))))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (+ x (* 1/2 (PI)))))))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x)))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 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 x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (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 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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (* -1/24 (* eps eps)) #s(hole binary64 (* -1/24 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps 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 (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/24 (* eps (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 (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (sin (+ x (* 1/2 (PI))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/120 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))))))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/120 (* (pow eps 2) (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))) (* 1/120 (sin (+ x (* 1/2 (PI)))))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* -1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ 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 (* 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 (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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* -1/24 (* eps eps)) -1/24 (* eps eps) (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps 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))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) -1/6 (* -1/2 (sin x)) (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) (cos eps) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
9.0ms	eps	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* -1/24 (* eps eps)) -1/24 (* eps eps) (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps 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))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) -1/6 (* -1/2 (sin x)) (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) (cos eps) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
8.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* -1/24 (* eps eps)) -1/24 (* eps eps) (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps 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))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) -1/6 (* -1/2 (sin x)) (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) (cos eps) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
6.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* -1/24 (* eps eps)) -1/24 (* eps eps) (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps 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))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) -1/6 (* -1/2 (sin x)) (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) (cos eps) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
5.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* -1/24 (* eps eps)) -1/24 (* eps eps) (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps 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))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) -1/6 (* -1/2 (sin x)) (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) (cos eps) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)

rewrite187.0ms (2.8%)

Memory

24.9MiB live, 157.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	944	6654
0	998	6094
1	6029	6094
0	8496	5639

Stop Event

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

Counts

261 → 393

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(literal 0 binary64)
(sin.f64 x)
(.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(.f64 #s(literal -1/24 binary64) (.f64 eps eps))
#s(literal -1/24 binary64)
(*.f64 eps eps)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #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 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)
(.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps)))
#s(literal -1/2 binary64)
(fma.f64 eps x (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #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 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 #s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 #s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #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)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(-.f64 (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (+ (* 1/144 (pow eps 2)) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) 1/12)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (- (+ (* 1/144 (pow eps 2)) (* (pow x 2) (+ 1/240 (+ (* -1/2880 (pow eps 2)) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080)))))) 1/12)))))))
#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 (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* (+ (* (+ (* (+ (* 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 (* -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 (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos 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)))))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (* (cos (* 1/2 (PI))) (sin eps)) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (+ (* x (- (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (* -1/6 (* (cos (* 1/2 (PI))) (sin eps))))))) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (* (cos (* 1/2 (PI))) (sin eps))) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* -1/6 (* x (* (cos (* 1/2 (PI))) (sin eps)))))) (* (cos (* 1/2 (PI))) (sin eps)))) (* (sin eps) (sin (* 1/2 (PI)))))))
#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) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (* (+ (* (+ (* 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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ x (* 1/2 (PI)))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* (sin eps) (sin (+ x (* 1/2 (PI))))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (+ x (* 1/2 (PI)))))))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x)))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 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 x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (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 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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (* -1/24 (* eps eps)) #s(hole binary64 (* -1/24 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps 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 (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin x) (cos eps)) (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/24 (* eps (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 (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (sin (+ x (* 1/2 (PI))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))))) (sin x))))
#s(approx (- (* (sin (+ x (/ (PI) 2))) (sin eps)) (sin x)) #s(hole binary64 (- (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/120 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))))))) (sin x))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 1/120 (* (pow eps 2) (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) (sin eps)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin (+ x (* 1/2 (PI)))))) (* 1/120 (sin (+ x (* 1/2 (PI)))))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* -1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ 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 (* 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 (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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (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)))))))

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

eval67.0ms (1%)

Memory: -25.8MiB live, 77.7MiB allocated; 25ms collecting garbage
Compiler: Compiled 16 910 to 2 156 computations (87.3% saved)

prune13.0ms (0.2%)

Memory

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

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	415	5	420
Fresh	2	6	8
Picked	3	2	5
Done	0	5	5
Total	420	18	438

Accuracy

100.0%

Counts

438 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 eps)) (sin.f64 x)))
✓	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	99.6%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.5%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x)))))
▶	99.7%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))))
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	5.4%	#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
	99.1%	#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)))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 #s(approx (sin x) 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))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.6%	#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))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 718 to 477 computations (33.6% saved)

series40.0ms (0.6%)

Memory

-21.5MiB live, 25.0MiB allocated; 2ms collecting garbage

Counts

34 → 184

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2)))))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* 1/120 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2)))))) (* 1/120 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))))))))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/6 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* -1/24 (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/2 (* -1/24 (pow eps 2)))) (* 1/120 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))))))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* 1/120 (+ 1/2 (* -1/24 (pow eps 2)))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 1))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 x) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* -1/2 (/ x eps)) 1/2)) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* x (- (* 1/12 x) (* 1/2 (/ 1 eps)))) 1/2)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (* (sin x) (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* (sin x) (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 (sin x)) (/ (cos x) eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#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 eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (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 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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow eps 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (cos x) eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (+ (cos x) (* -1/2 (* eps (sin x)))) eps)))
#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 eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* -1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))))
#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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (* -1/2 (sin x))))
#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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	eps	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (sin x) (+ (* (* eps eps) -1/24) 1/2) -1/24 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps eps)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/ (cos x) eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps))
5.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (sin x) (+ (* (* eps eps) -1/24) 1/2) -1/24 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps eps)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/ (cos x) eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps))
5.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (sin x) (+ (* (* eps eps) -1/24) 1/2) -1/24 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps eps)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/ (cos x) eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps))
5.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (sin x) (+ (* (* eps eps) -1/24) 1/2) -1/24 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps eps)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/ (cos x) eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps))
4.0ms	eps	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (sin x) (+ (* (* eps eps) -1/24) 1/2) -1/24 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) -1/2 (+ (* eps x) (* eps eps)) (* eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/ (cos x) eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps))

rewrite184.0ms (2.8%)

Memory

25.7MiB live, 161.9MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	743	4756
0	776	4306
1	4605	4300
0	8315	4087

Stop Event

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

Counts

218 → 320

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 eps eps)
(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(sin.f64 x)
(fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)
(.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)))
#s(literal -1/2 binary64)
#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x))
(*.f64 eps x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
(/.f64 (cos.f64 x) eps)
(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)
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/144 (pow eps 2)) 1/12))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* -1/2880 (pow eps 2))))) (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/144 (pow eps 2)) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120960 (pow eps 2)) 1/10080))) (* (pow eps 2) (+ 1/240 (* -1/2880 (pow eps 2))))))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2)))))) (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* 1/120 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))))))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2)))))) (* 1/120 (* (pow eps 2) (+ 1/2 (* -1/24 (pow eps 2)))))))))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/6 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* -1/24 (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/2 (* -1/24 (pow eps 2)))) (* 1/120 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))))))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* x (+ 1/2 (+ (* -1/24 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/2 (* -1/24 (pow eps 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/2 (* -1/24 (pow eps 2))))) (* 1/120 (+ 1/2 (* -1/24 (pow eps 2)))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 1))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 x) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* -1/2 (/ x eps)) 1/2)) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* x (- (* 1/12 x) (* 1/2 (/ 1 eps)))) 1/2)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (* (sin x) (+ 1/2 (* -1/24 (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* (sin x) (+ 1/2 (* -1/24 (pow eps 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 (sin x)) (/ (cos x) eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#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 eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (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 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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow eps 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (cos x) eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (+ (cos x) (* -1/2 (* eps (sin x)))) eps)))
#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 eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* -1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* -1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))))
#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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (* -1/2 (sin x))))
#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 (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(/.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 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 (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 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) eps) eps)
(.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) (.f64 eps eps))
(.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(.f64 eps (.f64 eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(+.f64 (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal -1/13824 binary64) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)))
(-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)))
(sin.f64 x)
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/13824 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) eps) eps #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x eps))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ (* eps x) (* eps eps)) (.f64 eps x)) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (.f64 (.f64 #s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x) eps))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (.f64 eps x)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (.f64 eps x)) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x) eps))))
(fma.f64 (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x eps)
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) x) eps)
(fma.f64 x (.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) eps)
(+.f64 (.f64 (.f64 #s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x) eps)
(+.f64 eps (.f64 (.f64 #s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64)) x))
(.f64 #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x)))
#s(literal -1/2 binary64)
#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x))
(*.f64 eps x)
(*.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps)
(.f64 eps #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (.f64 (/.f64 (cos.f64 x) eps) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (/.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (*.f64 (/.f64 (cos.f64 x) eps) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (/.f64 (cos.f64 x) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))
(+.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 eps))
(/.f64 (cos.f64 x) eps)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.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 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.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))
(*.f64 (sin.f64 x) (cos.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (+.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.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) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sin.f64 eps) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps))) (.f64 x x) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (.f64 x x) (sin.f64 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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.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 (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 eps)) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (cos.f64 eps)) #s(literal 1/5040 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) x))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/2880 binary64) (.f64 eps eps) #s(literal 1/240 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 eps eps))) x))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/120960 binary64) (.f64 eps eps)) #s(literal 1/10080 binary64)) (.f64 x x) (fma.f64 #s(literal -1/2880 binary64) (.f64 eps eps) #s(literal 1/240 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 eps eps)) #s(literal 1/12 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (fma.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 eps eps))) x))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))) (.f64 x x))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 eps eps))) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) eps) eps (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) (*.f64 x x))) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) (.f64 x x))) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #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 (- (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 (-.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 (- (sin (+ x eps)) (sin x)) (fma.f64 (-.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 (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 eps x) eps) #s(literal -1/2 binary64)) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) eps)
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (fma.f64 (.f64 (.f64 (+.f64 eps x) eps) #s(literal -1/2 binary64)) x eps))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (.f64 (+.f64 eps x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 (+.f64 eps x) eps))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.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 (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) #s(literal 1 binary64))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (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 (+ (* -1/2 (sin x)) (/ (cos x) eps)) (pow.f64 eps #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 #s(literal -1/2 binary64) x (pow.f64 eps #s(literal -1 binary64))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 (-.f64 (*.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x (pow.f64 eps #s(literal -1 binary64))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) x) #s(literal 1/2 binary64)) x (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (pow.f64 eps #s(literal -1 binary64)))
#s(approx (/ (cos x) eps) (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/2 binary64) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x x) eps) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.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 (- (sin (+ x eps)) (sin x)) (fma.f64 (-.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 (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 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
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#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
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#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
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#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 eps eps) x) eps) (/.f64 eps (.f64 x x))) (.f64 x x)))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))
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#s(approx (+ (* eps x) (* eps eps)) (*.f64 eps x))
#s(approx (+ (* eps x) (* eps eps)) (.f64 (+.f64 (/.f64 (.f64 eps eps) x) eps) x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
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#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
#s(approx (/ (cos x) eps) (/.f64 (cos.f64 x) eps))
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#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
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#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 eps eps) x) eps))))
#s(approx (+ (* eps x) (* eps eps)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 eps eps) x) eps))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
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#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 0 binary64)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.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(literal 0 binary64)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) (cos.f64 x) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)) (cos.f64 x) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (sin eps) eps)
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#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.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)
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#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (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 (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (+ (* (* eps eps) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* eps eps) -1/24) 1/2) (fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (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 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps))
#s(approx (+ (* eps x) (* eps eps)) (*.f64 (+.f64 eps x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (cos.f64 x))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/.f64 (cos.f64 x) eps))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (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 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.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)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.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.f64 x))
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#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.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) (sin.f64 x)))
#s(approx (cos eps) #s(literal 1 binary64))
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#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
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#s(approx (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/24) 1/2))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)) (sin.f64 x)))
#s(approx (* (sin x) (+ (* (* eps eps) -1/24) 1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps)))
#s(approx (+ (* (* eps eps) -1/24) 1/2) (.f64 (.f64 eps eps) #s(literal -1/24 binary64)))
#s(approx (+ (* (* eps eps) -1/24) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/2 binary64) (pow.f64 eps #s(literal -1 binary64)))) (*.f64 eps eps)))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* eps x) (* eps eps)) (.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))

eval45.0ms (0.7%)

Memory: -18.9MiB live, 69.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 14 670 to 1 824 computations (87.6% saved)

prune14.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	339	3	342
Fresh	2	4	6
Picked	0	5	5
Done	2	5	7
Total	343	17	360

Accuracy

100.0%

Counts

360 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 eps)) (sin.f64 x)))
✓	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.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 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
	98.8%	(fma.f64 #s(approx (sin eps) eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	99.6%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	99.7%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))))
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	5.4%	#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
	99.1%	#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)))
✓	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.6%	#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))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) eps))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 1 060 to 431 computations (59.3% saved)

regimes27.0ms (0.4%)

Memory

-29.9MiB live, 29.4MiB allocated; 7ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.3%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) 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)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) 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)))
(fma.f64 #s(approx (sin eps) eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #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) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (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)))
#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)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (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))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps)) (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))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1/2 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 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 #s(approx (sin x) 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))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.3%)

Memory

-18.3MiB live, 28.3MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) 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)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) 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)))
(fma.f64 #s(approx (sin eps) eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #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) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (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)))
#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)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (* -1/24 (* eps eps)) (sin x)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (sin.f64 x)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-27.1MiB live, 19.1MiB allocated; 3ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs
(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))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

13 → 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) 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)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)) 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)))
(fma.f64 #s(approx (sin eps) eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

-30.7MiB live, 15.6MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`eps`
98.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.5%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

-39.3MiB live, 9.5MiB allocated; 5ms 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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))

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

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

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.4%	1	`x`
96.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Accuracy

Total -58.3b remaining (-2516.6%)

Threshold costs -58.3b (-2516.6%)

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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.4%	1	`x`
96.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations316.0ms (4.8%)

Memory

26.9MiB live, 215.3MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 265 to 90 computations (66% saved)

preprocess133.0ms (2%)

Memory: -48.7MiB live, 180.2MiB allocated; 78ms collecting garbage
Compiler: Compiled 544 to 192 computations (64.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.4%)

sample4.6s (70.2%)

explain116.0ms (1.7%)

preprocess88.0ms (1.3%)

series5.0ms (0.1%)

rewrite165.0ms (2.5%)

eval14.0ms (0.2%)

prune7.0ms (0.1%)

series53.0ms (0.8%)

rewrite202.0ms (3.1%)

eval66.0ms (1%)

prune17.0ms (0.3%)

series57.0ms (0.9%)

rewrite187.0ms (2.8%)

eval67.0ms (1%)

prune13.0ms (0.2%)

series40.0ms (0.6%)

rewrite184.0ms (2.8%)

eval45.0ms (0.7%)

prune14.0ms (0.2%)

regimes27.0ms (0.4%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

derivations316.0ms (4.8%)

preprocess133.0ms (2%)

end0.0ms (0%)

Profiling