Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze64.0ms (1%)

Memory

-28.4MiB live, 33.5MiB allocated; 45ms 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)

sample4.1s (63.4%)

Memory

131.9MiB live, 5 174.4MiB allocated; 878ms collecting garbage

Samples

1.9s	26 352×	0	invalid
690.0ms	5 546×	1	valid
163.0ms	2 710×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-sin: 623.0ms (38.6% of total)

ival-fabs: 284.0ms (17.6% of total)

adjust: 147.0ms (9.1% of total)

ival-<: 129.0ms (8% of total)

ival-mult!: 127.0ms (7.9% of total)

ival-add!: 124.0ms (7.7% of total)

ival-sub!: 103.0ms (6.4% of total)

ival-and: 64.0ms (4% of total)

ival-assert: 15.0ms (0.9% of total)

Bogosity

explain102.0ms (1.6%)

Memory

-27.9MiB live, 125.7MiB allocated; 34ms 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

35.0ms	378×	1	valid
6.0ms	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: 28.0ms

ival-sin: 15.0ms (53% of total)

adjust: 9.0ms (31.8% of total)

ival-sub!: 2.0ms (7.1% of total)

ival-add!: 2.0ms (7.1% of total)

preprocess85.0ms (1.3%)

Memory

-22.9MiB live, 22.5MiB allocated; 4ms 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

5.3MiB live, 5.3MiB 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))

rewrite144.0ms (2.2%)

Memory

17.8MiB live, 155.3MiB allocated; 18ms 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 x (-.f64 x eps)) #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 x (-.f64 x eps)) #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 x (-.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (sin.f64 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))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 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))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #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 x (-.f64 x eps)) #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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (sin.f64 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))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(-.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 x (-.f64 x eps)) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #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))))))
(sin.f64 (+.f64 eps 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)))
(-.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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (.f64 x (-.f64 x eps))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(+.f64 eps (*.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 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.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 (.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) x #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (sin (+ x eps)) (sin.f64 x))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps (sin.f64 x)))
#s(approx eps eps)
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval10.0ms (0.2%)

Memory: 17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 003 to 385 computations (80.8% saved)

prune8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Accuracy

100.0%

Counts

99 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	57.7%	(-.f64 (sin.f64 (+.f64 x eps)) #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)))
▶	57.8%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x)))
▶	57.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	59.1%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
	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))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	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 433 to 302 computations (30.3% saved)

series40.0ms (0.6%)

Memory

-5.9MiB live, 40.6MiB allocated; 3ms collecting garbage

Counts

48 → 229

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* 1/120 x)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* x (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x (- x eps)) #s(hole binary64 eps))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1/5040 (pow x 3))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 x))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- x (- x eps)) 2))) 2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
8.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- x (- x eps)) 2))) 2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
7.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- x (- x eps)) 2))) 2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
5.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- x (- x eps)) 2))) 2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
4.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- x (- x eps)) 2))) 2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))

rewrite200.0ms (3.1%)

Memory

-22.0MiB live, 161.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	850	5674
0	915	5538
1	4534	5518
0	8402	5328

Stop Event

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

Counts

277 → 450

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (-.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) x #s(literal 1 binary64))
(.f64 (-.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)
(-.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))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))))
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))
(-.f64 x (-.f64 x eps))
(-.f64 x eps)
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* 1/120 x)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* x (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x (- x eps)) #s(hole binary64 eps))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1/5040 (pow x 3))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 x))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x)))))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
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#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (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 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) 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 (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.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 (* (sin x) -1/2) (.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)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) x)
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (sin (/ (- x (- x eps)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- x (- x eps)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x (- x eps)) eps)
#s(approx (- x eps) (neg.f64 eps))
#s(approx (- x eps) (-.f64 x eps))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- x eps) x)
#s(approx (- x eps) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.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 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin (+ x eps)) (sin.f64 x))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (*.f64 (cos.f64 x) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 eps (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) eps)
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/322560 binary64) (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 eps eps)) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (- x eps) (+.f64 (neg.f64 eps) x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (- x eps) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval65.0ms (1%)

Memory: 6.4MiB live, 107.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 16 407 to 2 667 computations (83.7% saved)

prune18.0ms (0.3%)

Memory

-15.5MiB live, 31.9MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	470	13	483
Fresh	3	3	6
Picked	5	0	5
Done	0	1	1
Total	478	17	495

Accuracy

100.0%

Counts

495 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.1%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	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))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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))) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (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)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (-.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))) eps))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps 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))))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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))))
▶	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
▶	99.9%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))

Compiler

Compiled 1 173 to 756 computations (35.5% saved)

series61.0ms (0.9%)

Memory

-0.4MiB live, 45.4MiB allocated; 3ms collecting garbage

Counts

46 → 255

Calls

Call 1

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

Outputs
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (* 2 (cos (* 1/2 eps)))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* -2 (* x (sin (* 1/2 eps)))) (* 2 (cos (* 1/2 eps))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* -1 (* x (cos (* 1/2 eps)))))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -1 (cos (* 1/2 eps))) (* 1/3 (* x (sin (* 1/2 eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/12 (pow x 2)) (* eps (* x (+ 1/24 (* -1/144 (pow x 2)))))) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2))))))) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* 1/12 x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (+ 1/12 (* -1/144 (pow eps 2)))))
#s(approx (* 1/12 eps) #s(hole binary64 (* 1/12 eps)))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) x))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (- (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (/ 1 (pow eps 3)))))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (* 1/12 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (* 1/12 (* eps eps)) 1/2) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (- (* 1/12 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/12 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (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) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/144 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))) (* 1/6 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* -1/144 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* -1/144 (pow eps 2))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (/ 1 (pow eps 2))) 1/144))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (* 2 (cos (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* 1/24 x)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/24 x)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)) eps)) (* -1/12 (pow x 2)))) eps)) (* 1/24 x)))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/2) eps)) (* -1/12 x)) eps))))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2)))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x)) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps))) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* 1/12 (* eps eps)) 1/2) (* 1/12 (* eps eps)) 1/12 (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* -1/6 eps))
7.0ms	eps	@	inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* 1/12 (* eps eps)) 1/2) (* 1/12 (* eps eps)) 1/12 (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* -1/6 eps))
7.0ms	eps	@	-inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* 1/12 (* eps eps)) 1/2) (* 1/12 (* eps eps)) 1/12 (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* -1/6 eps))
6.0ms	x	@	-inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* 1/12 (* eps eps)) 1/2) (* 1/12 (* eps eps)) 1/12 (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* -1/6 eps))
5.0ms	eps	@	0	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* eps x) (- (* 1/12 (* eps eps)) 1/2) (* 1/12 (* eps eps)) 1/12 (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps)) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* -1/6 eps))

rewrite243.0ms (3.7%)

Memory

-23.9MiB live, 196.2MiB allocated; 85ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1056	8813
0	1118	8597
1	6329	8557
0	8631	8205

Stop Event

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

Counts

301 → 465

Calls

Call 1

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

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

eval73.0ms (1.1%)

Memory: 18.2MiB live, 118.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 31 583 to 3 234 computations (89.8% saved)

prune26.0ms (0.4%)

Memory

-1.1MiB live, 46.3MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	483	16	499
Fresh	4	7	11
Picked	3	2	5
Done	0	1	1
Total	490	26	516

Accuracy

100.0%

Counts

516 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.1%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	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))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
▶	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
▶	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
	99.1%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(approx (sin ( 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
▶	99.9%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))

Compiler

Compiled 2 011 to 1 266 computations (37% saved)

series49.0ms (0.7%)

Memory

-24.4MiB live, 72.2MiB allocated; 7ms collecting garbage

Counts

58 → 330

Calls

Call 1

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

Outputs
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (* 2 (cos (* 1/2 eps)))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* -2 (* x (sin (* 1/2 eps)))) (* 2 (cos (* 1/2 eps))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* -1 (* x (cos (* 1/2 eps)))))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -1 (cos (* 1/2 eps))) (* 1/3 (* x (sin (* 1/2 eps)))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (* -1/2 (+ eps x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (* -1/2 (+ eps x)) eps) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x)))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/12 x))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #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 (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (* 2 (cos (* 1/2 (+ eps (* 2 x)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow x 2) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow x 2) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (+ (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* eps (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (* (* -1/2 (+ eps x)) eps) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* -1/2 (+ eps x)) eps) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* eps (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* x (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* x (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* x (- (+ (* 1/24 (/ (pow eps 2) x)) (* 1/12 eps)) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) #s(hole binary64 (* 1/12 (* eps x))))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) #s(hole binary64 (* x (+ (* 1/24 (/ (pow eps 2) x)) (* 1/12 eps)))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/12 (* 1/24 (/ eps x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/6 (/ eps (pow x 3))) (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x)))))) (/ 1/2 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* x (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* x (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
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#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
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#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (* 1/12 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (* (* -1/2 (+ eps x)) eps) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 4) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (* 1/12 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* (pow eps 3) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (* 1/12 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/24 (* 1/12 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* 1/12 (/ x eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/144 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))) (* 1/6 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* -1/144 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* -1/144 (pow eps 2))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (/ 1 (pow eps 2))) 1/144))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) #s(hole binary64 (* 2 (cos (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (pow x 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* 1/24 x)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/24 x)))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)) eps)) (* -1/12 (pow x 2)))) eps)) (* 1/24 x)))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/2) eps)) (* -1/12 x)) eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) #s(hole binary64 (* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/2) eps)) (* -1/12 x)) eps))))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/12 (/ x eps)) 1/24)))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/12 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)) eps)) 1/24)))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/12 (/ x eps)) 1/24)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2)))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x)) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps))) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 1/2 eps) x) 1/2 eps x (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* -1/2 (+ eps x)) eps) (* -1/2 (+ eps x)) (+ eps x) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (* (+ (* 1/12 x) (* 1/24 eps)) eps) (+ (* 1/12 x) (* 1/24 eps)) 1/12 (* 1/24 eps) 1/24 (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* (* eps eps) 1/24) (* -1/6 eps) (cos x) (+ (* (* x x) -1/2) 1))
7.0ms	eps	@	-inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 1/2 eps) x) 1/2 eps x (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* -1/2 (+ eps x)) eps) (* -1/2 (+ eps x)) (+ eps x) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (* (+ (* 1/12 x) (* 1/24 eps)) eps) (+ (* 1/12 x) (* 1/24 eps)) 1/12 (* 1/24 eps) 1/24 (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* (* eps eps) 1/24) (* -1/6 eps) (cos x) (+ (* (* x x) -1/2) 1))
7.0ms	x	@	inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 1/2 eps) x) 1/2 eps x (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* -1/2 (+ eps x)) eps) (* -1/2 (+ eps x)) (+ eps x) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (* (+ (* 1/12 x) (* 1/24 eps)) eps) (+ (* 1/12 x) (* 1/24 eps)) 1/12 (* 1/24 eps) 1/24 (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* (* eps eps) 1/24) (* -1/6 eps) (cos x) (+ (* (* x x) -1/2) 1))
6.0ms	eps	@	inf	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 1/2 eps) x) 1/2 eps x (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* -1/2 (+ eps x)) eps) (* -1/2 (+ eps x)) (+ eps x) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (* (+ (* 1/12 x) (* 1/24 eps)) eps) (+ (* 1/12 x) (* 1/24 eps)) 1/12 (* 1/24 eps) 1/24 (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* (* eps eps) 1/24) (* -1/6 eps) (cos x) (+ (* (* x x) -1/2) 1))
5.0ms	eps	@	0	((* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (* 2 (cos (* (+ (* 2 x) eps) 1/2))) 2 (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 1/2 eps) x) 1/2 eps x (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (* -1/2 (+ eps x)) eps) (* -1/2 (+ eps x)) (+ eps x) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) (* eps eps) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (* (+ (* 1/12 x) (* 1/24 eps)) eps) (+ (* 1/12 x) (* 1/24 eps)) 1/12 (* 1/24 eps) 1/24 (* -1/2 x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* 1/12 eps) (* (* eps eps) 1/24) (* -1/6 eps) (cos x) (+ (* (* x x) -1/2) 1))

rewrite229.0ms (3.5%)

Memory

29.1MiB live, 261.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1221	11094
0	1284	10839
1	6947	10799
0	8647	10286

Stop Event

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

Counts

388 → 596

Calls

Call 1

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

Outputs
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(+.f64 (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(literal 2 binary64)
(sin.f64 (+.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
(cos.f64 (neg.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))
(+.f64 (.f64 (sin.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps))) (-.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 1/2 binary64)
eps
x
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (-.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (pow.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) eps))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) eps) eps)
(-.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps)
(+.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) eps)
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x)) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (-.f64 (.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (.f64 (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x))
(fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x))
(fma.f64 x #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(-.f64 (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
(+.f64 (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(+.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps) (.f64 #s(approx (+ ( (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps))
(.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (+.f64 eps x) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (*.f64 #s(literal -1/2 binary64) x) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) eps) (.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) eps) (.f64 (.f64 #s(literal -1/2 binary64) x) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) eps)) (.f64 eps (.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(*.f64 (+.f64 eps x) #s(literal -1/2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) eps))
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#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (* 1/2 eps) x) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* 1/2 eps) x) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx x x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
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#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
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#s(approx (+ (* (* (* x x) eps) -1/2) eps) eps)
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
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#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) 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 (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps)))
#s(approx (* (* -1/2 (+ eps x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (* -1/2 (+ eps x)) eps) (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))
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#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
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#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.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 (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #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 (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x) 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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.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 (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (-.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 (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (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 (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (fma.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (-.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 (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps x))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (*.f64 #s(literal 1/12 binary64) eps))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
#s(approx (* (+ (* 2 x) eps) 1/2) x)
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/2 eps) x) x)
#s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (.f64 (.f64 x x) eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 (.f64 eps eps) (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) (.f64 x x)))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (fma.f64 (.f64 eps eps) (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps) (.f64 x x)))) (.f64 x x)))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 (.f64 eps eps) (/.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) x))
#s(approx (* (* -1/2 (+ eps x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (* -1/2 (+ eps x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 (*.f64 eps eps) x))) x))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (+ eps x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps))
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#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))
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#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/12 binary64) eps)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) (.f64 #s(literal 1/12 binary64) (.f64 eps x)))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/12 binary64) eps)) x))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/24 binary64) #s(literal 1/12 binary64)) x))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/24 binary64) (.f64 (/.f64 eps x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 eps (.f64 (.f64 x x) x)) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/144 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/24 binary64) (.f64 (/.f64 eps x) #s(literal 1/12 binary64))))) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/24 binary64) (.f64 (/.f64 eps x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/24 binary64) (.f64 (/.f64 eps x) #s(literal 1/12 binary64)))) (.f64 x x)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (*.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 eps) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
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#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (neg.f64 x) (fma.f64 (neg.f64 eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps)) x))))
#s(approx (* (* -1/2 (+ eps x)) eps) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 (*.f64 eps eps) x)))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (neg.f64 eps) (.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) x)))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps (/.f64 (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps)) x))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) x))) #s(literal 1/2 binary64))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) eps (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)))))
#s(approx (* (+ (* 1/12 x) (* 1/24 eps)) eps) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 eps eps) x) (*.f64 #s(literal -1/12 binary64) eps))))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 eps x) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/12 binary64) eps)) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) x))))
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#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/144 binary64) eps) eps (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 eps eps) x) (.f64 #s(literal -1/12 binary64) eps)) x))) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) (/.f64 eps x) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (*.f64 (cos.f64 x) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 eps (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (*.f64 (cos.f64 x) eps))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (.f64 (fma.f64 eps (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
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#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (fma.f64 (cos.f64 x) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (fma.f64 (cos.f64 x) #s(literal 2 binary64) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 x))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64) (.f64 #s(literal -1/8 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx eps eps)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) 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 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x)) (/.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) eps)) (.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 x eps) (/.f64 (.f64 x x) (.f64 eps eps))))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 x eps) (/.f64 (.f64 x x) (.f64 eps eps))))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/144 binary64)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (/.f64 #s(literal 1/12 binary64) eps)) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/12 binary64) eps))) (*.f64 eps eps)))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) (.f64 (.f64 eps eps) #s(literal -1/144 binary64)))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (*.f64 eps eps)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (sin (* 1/2 eps))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* 2 (cos (* (+ (* 2 x) eps) 1/2))) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 eps) x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) (neg.f64 (/.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))) eps))) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) eps) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/12 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) eps) (* -1/2 x)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* 1/12 x) (* 1/24 eps)) eps) 1/2) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (+ (* 1/12 x) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -1/12 binary64)) #s(literal 1/24 binary64))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps))) #s(literal 1/6 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps))) eps))) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/12 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps))) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/12 binary64)) #s(literal 1/12 binary64)) eps))) (*.f64 eps eps)))

eval109.0ms (1.7%)

Memory: 5.5MiB live, 142.3MiB allocated; 52ms collecting garbage
Compiler: Compiled 46 365 to 4 151 computations (91% saved)

prune39.0ms (0.6%)

Memory

-4.3MiB live, 44.3MiB allocated; 4ms collecting garbage

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	605	13	618
Fresh	6	12	18
Picked	3	2	5
Done	0	3	3
Total	614	30	644

Accuracy

100.0%

Counts

644 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.1%	(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	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))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
✓	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
	51.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	50.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
	5.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
✓	96.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
✓	99.9%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
	99.7%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
	99.6%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
	99.1%	#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))

Compiler

Compiled 3 656 to 1 240 computations (66.1% saved)

regimes40.0ms (0.6%)

Memory

-11.2MiB live, 34.7MiB allocated; 2ms collecting garbage

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps 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))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(approx (sin ( 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #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 eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))

Outputs

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

Calls

3 calls:

13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
12.0ms	eps
12.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.5%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps 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))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(approx (sin ( 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #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 eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.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) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes30.0ms (0.5%)

Memory

-19.9MiB live, 26.5MiB allocated; 2ms collecting garbage

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps 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))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(approx (sin ( 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #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 eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))

Outputs

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

Calls

3 calls:

10.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	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)

regimes26.0ms (0.4%)

Memory

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

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 #s(approx (* (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps 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))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (* (* 2 (sin (/ (- x (- x eps)) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) #s(approx (sin ( 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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 (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))

Outputs

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

Calls

3 calls:

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

regimes25.0ms (0.4%)

Memory

-27.9MiB live, 21.6MiB allocated; 7ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
(.f64 #s(approx ( 2 (sin (/ (- x (- x eps)) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))

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

Calls

3 calls:

10.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	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)

regimes22.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 #s(literal 1/12 binary64) (+.f64 eps x))) 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 (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.3%)

Memory

-27.4MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (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))) eps))

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

Calls

3 calls:

7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	eps
6.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

-31.9MiB live, 14.6MiB allocated; 1ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(approx (+ (* (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) x) (* (+ (* (* eps eps) -1/6) 1) eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.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 (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (.f64 #s(approx (+ ( (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 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
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 #s(approx (+ (* (* eps x) (- (* 1/12 (* eps eps)) 1/2)) (* (- (* (* eps eps) 1/24) 1/2) (* eps eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)) x #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) 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
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Accuracy

Total -58.5b remaining (-2525.8%)

Threshold costs -58.5b (-2525.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations406.0ms (6.3%)

Memory

9.4MiB live, 192.3MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 505 to 140 computations (72.3% saved)

preprocess125.0ms (1.9%)

Memory: -20.2MiB live, 215.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 1 106 to 358 computations (67.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze64.0ms (1%)

sample4.1s (63.4%)

explain102.0ms (1.6%)

preprocess85.0ms (1.3%)

series5.0ms (0.1%)

rewrite144.0ms (2.2%)

eval10.0ms (0.2%)

prune8.0ms (0.1%)

series40.0ms (0.6%)

rewrite200.0ms (3.1%)

eval65.0ms (1%)

prune18.0ms (0.3%)

series61.0ms (0.9%)

rewrite243.0ms (3.7%)

eval73.0ms (1.1%)

prune26.0ms (0.4%)

series49.0ms (0.7%)

rewrite229.0ms (3.5%)

eval109.0ms (1.7%)

prune39.0ms (0.6%)

regimes40.0ms (0.6%)

regimes32.0ms (0.5%)

regimes30.0ms (0.5%)

regimes26.0ms (0.4%)

regimes25.0ms (0.4%)

regimes22.0ms (0.3%)

regimes21.0ms (0.3%)

regimes19.0ms (0.3%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

derivations406.0ms (6.3%)

preprocess125.0ms (1.9%)

end0.0ms (0%)

Profiling