Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze30.0ms (0.4%)

Memory

1.0MiB live, 48.7MiB allocated; 3ms 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)

sample4.7s (64.9%)

Memory

-159.7MiB live, 5 433.2MiB allocated; 2.0s collecting garbage

Samples

2.4s	26 335×	0	invalid
705.0ms	5 483×	1	valid
210.0ms	2 773×	0	valid

Precisions

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

ival-sin: 735.0ms (42.4% of total)

ival-fabs: 209.0ms (12.1% of total)

ival-<: 194.0ms (11.2% of total)

ival-mult!: 141.0ms (8.1% of total)

adjust: 139.0ms (8% of total)

ival-add!: 132.0ms (7.6% of total)

ival-sub!: 105.0ms (6.1% of total)

ival-and: 62.0ms (3.6% of total)

ival-assert: 16.0ms (0.9% of total)

Bogosity

explain83.0ms (1.2%)

Memory

31.9MiB live, 129.0MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
223	1	(1.7522339295986386e-154 1.5195343976770088e-156)	7	(-9.407496934417771e-169 1.6148374591953841e-170)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
2	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	217	14
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	216	7
-	1	32

Precision

0.9953917050691244

Recall

0.968609865470852

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	6	1
-	1	8	24

Precision?

0.961038961038961

Recall?

0.9955156950672646

Freqs

test

number	freq
0	39
1	215
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	328×	1	valid
8.0ms	184×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 11.0ms (50.4% of total)

adjust: 7.0ms (32.1% of total)

ival-sub!: 2.0ms (9.2% of total)

ival-add!: 2.0ms (9.2% of total)

preprocess85.0ms (1.2%)

Memory

-41.5MiB live, 55.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	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	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite149.0ms (2.1%)

Memory

16.3MiB live, 203.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

42 → 105

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: -9.7MiB live, 30.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune7.0ms (0.1%)

Memory

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

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Accuracy

99.9%

Counts

104 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	35.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
▶	63.5%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶	99.5%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 351 to 238 computations (32.2% saved)

series56.0ms (0.8%)

Memory

-0.9MiB live, 78.7MiB allocated; 30ms collecting garbage

Counts

25 → 147

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (* (cos eps) (sin x)) (* (cos x) (sin eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))

Calls

6 calls:

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

rewrite222.0ms (3.1%)

Memory

35.0MiB live, 141.3MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	3430
0	646	3152
1	3805	3152
0	8441	3015

Stop Event

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

Counts

172 → 308

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(cos.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (* (cos eps) (sin x)) (* (cos x) (sin eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (sin x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))

Outputs
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))))
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(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 x))
(cos.f64 x)
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x
(sin.f64 eps)
eps
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(fma.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)) (sin.f64 x))
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(*.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
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(sin.f64 (+.f64 x (PI.f64)))
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(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 x)
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(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
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#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
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(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
#s(literal -1/2 binary64)
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(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
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(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
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(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
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(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))))
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(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 x eps))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 (+.f64 eps x))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sin.f64 eps) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (sin.f64 eps) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps))) (.f64 x x) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 eps)) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (cos.f64 eps)) #s(literal 1/5040 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (neg.f64 x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
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#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 eps))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 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) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 (+.f64 eps x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (cos.f64 x) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (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 eps eps)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin.f64 x))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (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)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))

eval57.0ms (0.8%)

Memory: -25.6MiB live, 65.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 909 to 1 623 computations (86.4% saved)

prune43.0ms (0.6%)

Memory

-4.2MiB live, 48.8MiB allocated; 6ms collecting garbage

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	414	38	452
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	420	43	463

Accuracy

100.0%

Counts

463 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	63.5%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #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)))) (sin.f64 x))
	63.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))) (sin.f64 x))
	63.2%	(-.f64 (fma.f64 (sin.f64 x) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	99.5%	(-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.2%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
	98.9%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 x)))
▶	99.8%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
	99.6%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
	99.5%	(-.f64 (.f64 (cos.f64 x) #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))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.4%	(-.f64 (.f64 (cos.f64 x) #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))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.1%	(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.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(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 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)))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	96.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
▶	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
▶	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 2 553 to 1 653 computations (35.3% saved)

series43.0ms (0.6%)

Memory

-2.8MiB live, 42.7MiB allocated; 4ms collecting garbage

Counts

40 → 203

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(literal 0 binary64)
(sin.f64 x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))
(.f64 #s(literal 1/720 binary64) (.f64 eps eps))
#s(literal 1/720 binary64)
(*.f64 eps eps)
(*.f64 #s(literal -1/24 binary64) (sin.f64 x))
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
#s(literal -1/2 binary64)
(/.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(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)
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) 1/12)))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) (* (pow x 2) (+ 1/240 (+ (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880)) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080)))))) 1/12)))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (* -1/4320 (pow eps 2))))) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (+ (* -1/4320 (pow eps 2)) (* (pow x 2) (- (* 1/86400 (pow eps 2)) 1/2880)))))) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (+ (* -1/4320 (pow eps 2)) (* (pow x 2) (- (+ (* 1/86400 (pow eps 2)) (* (pow x 2) (+ 1/120960 (* -1/3628800 (pow eps 2))))) 1/2880)))))) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* -1/24 x)))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* 1/144 (pow x 2)) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/120960 (pow x 2)) 1/2880)))) 1/24))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (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 (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 x) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* -1/2 (/ x eps)) 1/2)) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* x (- (* 1/12 x) (* 1/2 (/ 1 eps)))) 1/2)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 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 (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 (sin x)) (/ (cos x) eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* 1/720 (* eps eps)) #s(hole binary64 (* 1/720 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (cos x) eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (+ (cos x) (* -1/2 (* eps (sin x)))) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (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 (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* 1/720 (* eps eps)) 1/720 (* eps eps) (* -1/24 (sin x)) -1/24 (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (+ (* -1/2 (sin x)) (/ (cos x) eps)) -1/2 (/ (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) 1/24 (* (cos x) -1/6) -1/6 (* -1/2 (sin x)))
7.0ms	eps	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* 1/720 (* eps eps)) 1/720 (* eps eps) (* -1/24 (sin x)) -1/24 (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (+ (* -1/2 (sin x)) (/ (cos x) eps)) -1/2 (/ (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) 1/24 (* (cos x) -1/6) -1/6 (* -1/2 (sin x)))
6.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* 1/720 (* eps eps)) 1/720 (* eps eps) (* -1/24 (sin x)) -1/24 (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (+ (* -1/2 (sin x)) (/ (cos x) eps)) -1/2 (/ (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) 1/24 (* (cos x) -1/6) -1/6 (* -1/2 (sin x)))
5.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* 1/720 (* eps eps)) 1/720 (* eps eps) (* -1/24 (sin x)) -1/24 (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (+ (* -1/2 (sin x)) (/ (cos x) eps)) -1/2 (/ (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) 1/24 (* (cos x) -1/6) -1/6 (* -1/2 (sin x)))
5.0ms	x	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) 0 (sin x) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* 1/720 (* eps eps)) 1/720 (* eps eps) (* -1/24 (sin x)) -1/24 (* 1/2 (sin x)) 1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (+ (* -1/2 (sin x)) (/ (cos x) eps)) -1/2 (/ (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) 1/24 (* (cos x) -1/6) -1/6 (* -1/2 (sin x)))

rewrite186.0ms (2.6%)

Memory

15.2MiB live, 152.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	864	6367
0	929	6042
1	5372	6042
0	8016	5731

Stop Event

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

Counts

243 → 369

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(literal 0 binary64)
(sin.f64 x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))
(.f64 #s(literal 1/720 binary64) (.f64 eps eps))
#s(literal 1/720 binary64)
(*.f64 eps eps)
(*.f64 #s(literal -1/24 binary64) (sin.f64 x))
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
#s(literal -1/2 binary64)
(/.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(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)
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) 1/12)))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) (* (pow x 2) (+ 1/240 (+ (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880)) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080)))))) 1/12)))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (* -1/4320 (pow eps 2))))) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (+ (* -1/4320 (pow eps 2)) (* (pow x 2) (- (* 1/86400 (pow eps 2)) 1/2880)))))) 1/24))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ 1/144 (+ (* -1/4320 (pow eps 2)) (* (pow x 2) (- (+ (* 1/86400 (pow eps 2)) (* (pow x 2) (+ 1/120960 (* -1/3628800 (pow eps 2))))) 1/2880)))))) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* -1/24 x)))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* 1/144 (pow x 2)) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) 1/24))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/144 (* (pow x 2) (- (* 1/120960 (pow x 2)) 1/2880)))) 1/24))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (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 (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 x) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* -1/2 (/ x eps)) 1/2)) (/ 1 eps))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* x (- (* x (- (* 1/12 x) (* 1/2 (/ 1 eps)))) 1/2)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 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 (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))
#s(approx (* -1/24 (sin x)) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (+ (* -1/2 (sin x)) (/ (cos x) eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* 1/720 (* eps eps)) #s(hole binary64 (* 1/720 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (cos x) eps)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (/ (+ (cos x) (* -1/2 (* eps (sin x)))) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #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 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (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 (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64)))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x))) #s(literal 2 binary64)) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x)))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) eps #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (.f64 eps eps)))
(+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x))) (sin.f64 x))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 0 binary64))
(+.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) (neg.f64 (sin.f64 x))))
#s(literal 0 binary64)
(sin.f64 x)
(.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))))))
(fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) eps) eps (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
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(-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (* (cos x) eps) eps)
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#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) eps)
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#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 #s(literal -1/2 binary64) x (pow.f64 eps #s(literal -1 binary64))))
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#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) x) #s(literal 1/2 binary64)) x (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (pow.f64 eps #s(literal -1 binary64)))
#s(approx (/ (cos x) eps) (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/2 binary64) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x x) eps) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
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#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps x) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 x x) 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 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
#s(approx (* -1/24 (sin x)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))
#s(approx (* 1/2 (sin x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) eps))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
#s(approx (/ (cos x) eps) (/.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (cos x) -1/6) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (*.f64 (cos.f64 x) eps) #s(literal 0 binary64)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps) #s(literal 0 binary64)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) #s(literal 0 binary64)))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)) (cos.f64 x) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(literal 0 binary64))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))
#s(approx (* 1/720 (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/720 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/.f64 (cos.f64 x) eps))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 eps #s(literal 6 binary64))) (sin.f64 x)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x))))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 eps #s(literal 6 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x)))))
#s(approx (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/720 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/720 binary64)) (sin.f64 x)))
#s(approx (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/24 binary64) (.f64 #s(literal 1/720 binary64) (sin.f64 x))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) eps))
#s(approx (* (+ (* -1/2 (sin x)) (/ (cos x) eps)) (* eps eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (+ (* -1/2 (sin x)) (/ (cos x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps)))
#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 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (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 #s(literal -1/24 binary64) (sin.f64 x)))))

eval75.0ms (1%)

Memory: -4.5MiB live, 86.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 23 496 to 2 566 computations (89.1% saved)

prune44.0ms (0.6%)

Memory

9.8MiB live, 56.6MiB allocated; 2ms collecting garbage

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	519	18	537
Fresh	11	24	35
Picked	1	4	5
Done	0	3	3
Total	531	49	580

Accuracy

100.0%

Counts

580 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 0 binary64)))))
	35.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	63.5%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #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)))) (sin.f64 x))
	63.1%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))) (sin.f64 x))
	63.2%	(-.f64 (fma.f64 (sin.f64 x) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64))) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
	98.9%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 x)))
	99.6%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))))
▶	99.8%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
	99.2%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x)))))
	99.5%	(-.f64 (.f64 (cos.f64 x) #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))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.4%	(-.f64 (.f64 (cos.f64 x) #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))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.1%	(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	5.5%	#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.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(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 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)))) eps))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	97.5%	#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))
	97.5%	#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))
	97.5%	#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))
	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (/.f64 (cos.f64 x) eps)))))
	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)) (.f64 eps eps))))
✓	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
	51.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
✓	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))

Compiler

Compiled 2 990 to 1 884 computations (37% saved)

series36.0ms (0.5%)

Memory

-12.2MiB live, 39.4MiB allocated; 7ms collecting garbage

Counts

50 → 222

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))) (* (pow eps 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* -1/5040 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/10080))) (* (pow eps 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))) 1/12)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (+ 1/240 (+ (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (- (* -1/5040 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/10080)))))) 1/12)))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24))) (* 1/720 (pow eps 2))) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/720 (pow eps 2)) 1/24)) (* 1/120 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24)))))) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24))) (* 1/120 (- (* 1/720 (pow eps 2)) 1/24))))))) 1/24))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* 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) #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) #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 (* x x) #s(hole binary64 (pow x 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 (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (* (sin x) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (* (sin x) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* (sin x) (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* 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) #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) #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 (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow eps 2)) 1/24)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* 1/720 (* (pow eps 2) (sin x)))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (* (pow eps 2) (- 1/720 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (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 (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (sin x) (+ (* (* eps eps) 1/720) -1/24) 1/720 -1/24 (* 1/2 (sin x)) 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) 1/120 1/6 1 -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* -1/2 (sin x)))
7.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (sin x) (+ (* (* eps eps) 1/720) -1/24) 1/720 -1/24 (* 1/2 (sin x)) 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) 1/120 1/6 1 -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* -1/2 (sin x)))
6.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (sin x) (+ (* (* eps eps) 1/720) -1/24) 1/720 -1/24 (* 1/2 (sin x)) 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) 1/120 1/6 1 -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* -1/2 (sin x)))
4.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (sin x) (+ (* (* eps eps) 1/720) -1/24) 1/720 -1/24 (* 1/2 (sin x)) 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) 1/120 1/6 1 -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* -1/2 (sin x)))
4.0ms	x	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (sin x) (+ (* (* eps eps) 1/720) -1/24) 1/720 -1/24 (* 1/2 (sin x)) 1/2 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) 0 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 (* x x) 1/120 1/6 1 -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) 1/24 (* (cos x) -1/6) (* -1/2 (sin x)))

rewrite231.0ms (3.2%)

Memory

0.6MiB live, 195.0MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	925	7495
0	988	7140
1	5709	7140
0	8077	6752

Stop Event

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

Counts

272 → 424

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
x
(sin.f64 eps)
eps
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(sin.f64 x)
(fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps)
(fma.f64 #s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps)
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/144 (* -1/4320 (pow eps 2)))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/120960 (* -1/3628800 (pow eps 2)))) 1/10080))) (* (pow eps 2) (+ 1/240 (* (pow eps 2) (- (* 1/86400 (pow eps 2)) 1/2880))))))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12))) (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))) (* (pow eps 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))) (* (pow x 2) (+ (* (pow eps 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* -1/5040 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/10080))) (* (pow eps 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))))))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/12)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (+ 1/240 (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)))))) 1/12)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* x (+ 1/2 (+ (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (- (+ (* -1/6 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (+ 1/240 (+ (* 1/120 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) (* (pow x 2) (- (* -1/5040 (* (pow eps 2) (- (* 1/720 (pow eps 2)) 1/24))) 1/10080)))))) 1/12)))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24))) (* 1/720 (pow eps 2))) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/720 (pow eps 2)) 1/24)) (* 1/120 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24)))))) 1/24))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* x (- (+ (* 1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/720 (pow eps 2)) 1/24)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/720 (pow eps 2)) 1/24))) (* 1/120 (- (* 1/720 (pow eps 2)) 1/24))))))) 1/24))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* 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) #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) #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 (* x x) #s(hole binary64 (pow x 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 (* (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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (* (sin x) (- (* 1/720 (pow eps 2)) 1/24)))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (* (sin x) (- (* 1/720 (pow eps 2)) 1/24))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* (sin x) (- (* 1/720 (pow eps 2)) 1/24))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* 1/2 (sin x)) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* 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) #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) #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 (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#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 (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* 1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* 1/2 (sin x))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x)))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* -1/24 (sin x))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow eps 2)) 1/24)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* 1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) #s(hole binary64 (* (pow eps 6) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* 1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/24 (/ (sin x) (pow eps 2))) (+ (* 1/720 (sin x)) (* 1/2 (/ (sin x) (pow eps 4))))))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* 1/720 (* (pow eps 2) (sin x)))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) #s(hole binary64 (* (pow eps 2) (+ (* -1/24 (/ (sin x) (pow eps 2))) (* 1/720 (sin x))))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(hole binary64 (* (pow eps 2) (- 1/720 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (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 (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (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)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps))))))))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
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eps
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#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/240 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) eps) eps (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) #s(literal 1/24 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.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 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 (sin x)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) 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 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #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) #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 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#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) #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 (* x x) (*.f64 x x))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))
#s(approx (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* 1/2 (sin x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
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#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
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#s(approx (sin eps) eps)
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#s(approx eps eps)
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#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
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#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))
#s(approx (* (sin x) (+ (* (* eps eps) 1/720) -1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (* eps eps) 1/720) -1/24) #s(literal -1/24 binary64))
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#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
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#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
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#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (* -1/6 eps) (*.f64 #s(literal -1/6 binary64) eps))
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#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
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#s(approx (+ (* (* eps eps) 1/720) -1/24) (.f64 (.f64 eps eps) #s(literal 1/720 binary64)))
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#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps)))
#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 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)))))
#s(approx (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x)))))

eval104.0ms (1.4%)

Memory: 0.6MiB live, 141.0MiB allocated; 13ms collecting garbage
Compiler: Compiled 40 619 to 3 750 computations (90.8% saved)

prune56.0ms (0.8%)

Memory

22.1MiB live, 74.8MiB allocated; 6ms collecting garbage

Pruning

46 alts after pruning (37 fresh and 9 done)

	Pruned	Kept	Total
New	698	14	712
Fresh	14	23	37
Picked	2	3	5
Done	1	6	7
Total	715	46	761

Accuracy

100.0%

Counts

761 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.6%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps)))) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (sin.f64 x)) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (.f64 eps eps))))))
	35.5%	(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
	63.5%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) #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)))) (sin.f64 x))
	99.2%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) #s(approx (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) 1/720) -1/24))) (* 1/2 (sin x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
	99.5%	(-.f64 (.f64 (cos.f64 x) #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))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
	99.9%	(-.f64 (.f64 (cos.f64 x) #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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
	99.8%	(-.f64 (.f64 (cos.f64 x) #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 (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
	99.5%	(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) #s(approx (+ ( (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))
✓	63.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	63.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	5.5%	#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.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(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 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)))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 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)))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 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)))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	97.5%	#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))
	97.5%	#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))
	97.5%	#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))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (/.f64 (cos.f64 x) eps)))))
	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)) (.f64 eps eps))))
✓	52.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps))))
✓	96.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))

Compiler

Compiled 4 746 to 1 557 computations (67.2% saved)

regimes61.0ms (0.9%)

Memory

10.0MiB live, 55.3MiB allocated; 4ms collecting garbage

Counts

81 → 1

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) #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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))

Calls

3 calls:

21.0ms	eps
18.0ms	x
18.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 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)

regimes49.0ms (0.7%)

Memory

-7.4MiB live, 38.2MiB allocated; 3ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) #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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))

Calls

3 calls:

20.0ms	eps
13.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes42.0ms (0.6%)

Memory

12.6MiB live, 58.5MiB allocated; 2ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) #s(approx (sin eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))))

Calls

3 calls:

14.0ms	eps
13.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes45.0ms (0.6%)

Memory

-43.0MiB live, 54.3MiB allocated; 9ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	eps
12.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.5%)

Memory

40.6MiB live, 40.6MiB allocated; 0ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(approx (+ (* 0 (sin x)) (* (+ (* (+ (* (* 1/720 (* eps eps)) (sin x)) (* -1/24 (sin x))) (* eps eps)) (* 1/2 (sin x))) (* eps eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x)))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes71.0ms (1%)

Memory

-17.8MiB live, 27.7MiB allocated; 3ms collecting garbage

Counts

50 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
11.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.4%)

Memory

-5.2MiB live, 40.4MiB allocated; 2ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.3%)

Memory

-16.2MiB live, 34.9MiB allocated; 5ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.3%)

Memory

-16.6MiB live, 29.0MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-28.7MiB live, 18.2MiB allocated; 2ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.6%	1	`eps`
97.6%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Accuracy

Total -58.4b remaining (-2728.4%)

Threshold costs -58.4b (-2728.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations456.0ms (6.3%)

Memory

-27.3MiB live, 272.4MiB allocated; 138ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 602 to 151 computations (74.9% saved)

preprocess96.0ms (1.3%)

Memory: 25.6MiB live, 116.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 1 300 to 380 computations (70.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze30.0ms (0.4%)

sample4.7s (64.9%)

explain83.0ms (1.2%)

preprocess85.0ms (1.2%)

series5.0ms (0.1%)

rewrite149.0ms (2.1%)

eval19.0ms (0.3%)

prune7.0ms (0.1%)

series56.0ms (0.8%)

rewrite222.0ms (3.1%)

eval57.0ms (0.8%)

prune43.0ms (0.6%)

series43.0ms (0.6%)

rewrite186.0ms (2.6%)

eval75.0ms (1%)

prune44.0ms (0.6%)

series36.0ms (0.5%)

rewrite231.0ms (3.2%)

eval104.0ms (1.4%)

prune56.0ms (0.8%)

regimes61.0ms (0.9%)

regimes49.0ms (0.7%)

regimes42.0ms (0.6%)

regimes45.0ms (0.6%)

regimes37.0ms (0.5%)

regimes71.0ms (1%)

regimes32.0ms (0.4%)

regimes25.0ms (0.3%)

regimes18.0ms (0.2%)

regimes20.0ms (0.3%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

derivations456.0ms (6.3%)

preprocess96.0ms (1.3%)

end0.0ms (0%)

Profiling