Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze82.0ms (1%)

Memory

12.9MiB live, 34.0MiB allocated; 57ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.1s (63.4%)

Memory

-11.9MiB live, 5 669.2MiB allocated; 2.2s collecting garbage

Samples

2.5s	26 298×	0	invalid
842.0ms	5 628×	1	valid
208.0ms	2 628×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-sin: 769.0ms (31.5% of total)

ival-mult!: 725.0ms (29.7% of total)

ival-fabs: 296.0ms (12.1% of total)

ival-<: 188.0ms (7.7% of total)

ival-add!: 148.0ms (6.1% of total)

adjust: 137.0ms (5.6% of total)

ival-sub!: 99.0ms (4.1% of total)

ival-and: 63.0ms (2.6% of total)

ival-assert: 15.0ms (0.6% of total)

Bogosity

explain108.0ms (1.3%)

Memory

3.6MiB live, 109.8MiB allocated; 39ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
223	3	(1.5304937701870522e-269 1.2863626152991945e-271)	8	(6.3773892201797454e-208 1.0002146566620065e-209)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
4	0	-	2	(88.12098142555593 1.9107737977557416e-8)	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	218	12
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	2

Confusion

	Predicted +	Predicted -
+	215	8
-	3	30

Precision

0.9862385321100917

Recall

0.9641255605381166

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	215	8	0
-	3	4	26

Precision?

0.9695652173913043

Recall?

1.0

Freqs

test

number	freq
0	38
1	216
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	334×	1	valid
8.0ms	176×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 12.0ms (51.5% of total)

adjust: 7.0ms (30% of total)

ival-sub!: 2.0ms (8.6% of total)

ival-add!: 2.0ms (8.6% of total)

preprocess91.0ms (1.1%)

Memory

-24.8MiB live, 22.7MiB allocated; 8ms 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
0	6	7
0	10	7
1	11	7
0	11	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite142.0ms (1.8%)

Memory

24.0MiB live, 161.2MiB allocated; 23ms 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))))

eval15.0ms (0.2%)

Memory: -17.5MiB live, 27.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune7.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	28.2%	(/.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))))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.8%	(.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))
▶	99.8%	#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))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 315 to 206 computations (34.6% saved)

series60.0ms (0.7%)

Memory

-6.8MiB live, 84.6MiB allocated; 7ms collecting garbage

Counts

36 → 235

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (sin eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (* 2 (/ (pow (cos eps) 2) (sin eps)))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2))))))) 1)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (+ (* 2 (/ (pow (cos eps) 2) (sin eps))) (* x (- (+ 2/3 (+ (* -1 (cos eps)) (+ (* -1/6 (cos eps)) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))) (+ (/ 1 (pow (sin eps) 2)) (+ (/ (* (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))) (- (cos eps) 1)) (pow (sin eps) 2)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (+ (* -1/2 (sin eps)) (* 2 (/ (pow (cos eps) 2) (sin eps)))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2)))))) (pow (sin eps) 2)))))))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2))))))) 1)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (* (cos eps) (pow (sin eps) 2)))) (pow (sin eps) 3))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (+ (* x (- (+ (* -1 (* (cos eps) (pow (sin eps) 2))) (+ (* -1/6 (* (cos eps) (pow (sin eps) 2))) (+ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (sin eps) (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps)))))))) 1)) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (* (cos eps) (pow (sin eps) 2)))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (+ (* x (+ (* -1 (* (cos eps) (pow (sin eps) 2))) (+ (* -1/6 (* (cos eps) (pow (sin eps) 2))) (+ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (sin eps) (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps))))))))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (* 2 (* (cos eps) (sin eps))))) (pow (sin eps) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (+ (* 2 (* (cos eps) (sin eps))) (* x (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))))) (pow (sin eps) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (+ (* 2 (* (cos eps) (sin eps))) (* x (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (+ (* x (+ (* -1 (* (cos eps) (sin eps))) (+ (* -1/2 (sin eps)) (+ (* -1/3 (* (cos eps) (sin eps))) (* -1/6 (sin eps)))))) (pow (cos eps) 2))))))))) (pow (sin eps) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (sin eps)))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (cos eps))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* -1/2 (* x (sin eps)))))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) 1/6))))))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* 2 (* x (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))) (pow (sin eps) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (+ (* x (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps))))) (pow (cos eps) 2)))))) (pow (sin eps) 2))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (+ eps x)) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (+ eps x)) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (+ eps x)))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (+ eps x)) 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (- eps (* -1 x))) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (- eps (* -1 x))))) (pow (sin (- eps (* -1 x))) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (- eps (* -1 x))) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (- eps (* -1 x))) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (- eps (* -1 x))))) (pow (sin (- eps (* -1 x))) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (- eps (* -1 x))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (- eps (* -1 x))) 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (* eps (+ (* 2 (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* eps (- (+ (* -1/2 (/ (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* 2 (/ (* (pow (cos x) 2) (sin x)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))) (/ (* (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) 2)))) (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (* eps (+ (* 2 (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* eps (- (+ (* -1/2 (/ (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* 2 (/ (* (pow (cos x) 2) (sin x)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* eps (- (+ (* -1 (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1/6 (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))) (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))) (+ (/ (* (+ (* -1 (pow (sin x) 2)) (+ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) 2)) (/ (* (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (+ (* -1/2 (/ (pow (sin x) 3) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* 2 (/ (* (pow (cos x) 2) (sin x)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))) (/ (* (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) 2)))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))) (/ (* (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)) 2)))) (/ (* (cos x) (pow (sin x) 2)) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))))))
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#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))) (+ (* -1/3 (* (pow (cos x) 2) (sin x))) (+ (* 1/24 (pow (sin x) 3)) (+ (* (cos x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (* (sin x) (+ (* -1/3 (pow (cos x) 2)) (+ (* 1/12 (pow (sin x) 2)) (* 1/4 (pow (sin x) 2)))))))))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x)))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))))) (* (cos x) (pow (sin x) 2))))) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2))))) (pow (sin x) 3))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (sin x) 2)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (sin x) 2)) (+ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))) (* (cos x) (sin x))))) (pow (sin x) 2)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (sin x) 2)) (+ (* -1/2 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* -1/3 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (pow (cos x) 2))))) (* (cos x) (sin x))))) (pow (sin x) 2)))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (* 2 (sin x))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (cos x)))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* 2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))) (pow (sin x) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (pow (cos x) 2)))))) (pow (sin x) 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos 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 (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (- x (* -1 eps))) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (- x (* -1 eps))))) (pow (sin (- x (* -1 eps))) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (- x (* -1 eps))) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (- x (* -1 eps))) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (- x (* -1 eps))))) (pow (sin (- x (* -1 eps))) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (- x (* -1 eps))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (- x (* -1 eps))) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x 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) (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow (sin (+ eps x)) 3) (sin (+ eps x)) (+ eps x) 3 (pow (sin x) 3) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (+ (sin x) (sin (+ eps x))) (pow (sin (+ eps x)) 2) 2)
9.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x 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) (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow (sin (+ eps x)) 3) (sin (+ eps x)) (+ eps x) 3 (pow (sin x) 3) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (+ (sin x) (sin (+ eps x))) (pow (sin (+ eps x)) 2) 2)
9.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x 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) (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow (sin (+ eps x)) 3) (sin (+ eps x)) (+ eps x) 3 (pow (sin x) 3) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (+ (sin x) (sin (+ eps x))) (pow (sin (+ eps x)) 2) 2)
8.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x 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) (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow (sin (+ eps x)) 3) (sin (+ eps x)) (+ eps x) 3 (pow (sin x) 3) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (+ (sin x) (sin (+ eps x))) (pow (sin (+ eps x)) 2) 2)
8.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x 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) (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow (sin (+ eps x)) 3) (sin (+ eps x)) (+ eps x) 3 (pow (sin x) 3) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (+ (sin x) (sin (+ eps x))) (pow (sin (+ eps x)) 2) 2)

rewrite240.0ms (3%)

Memory

28.4MiB live, 214.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1069	9111
0	1138	7969
1	7328	7930
0	9052	7607

Stop Event

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

Counts

271 → 410

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
#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)
(/.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))))
(-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64))
(sin.f64 (+.f64 eps x))
(+.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)))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (sin eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (* 2 (/ (pow (cos eps) 2) (sin eps)))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2))))))) 1)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (- (+ (* -1/2 (sin eps)) (+ (* 2 (/ (pow (cos eps) 2) (sin eps))) (* x (- (+ 2/3 (+ (* -1 (cos eps)) (+ (* -1/6 (cos eps)) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))) (+ (/ 1 (pow (sin eps) 2)) (+ (/ (* (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))) (- (cos eps) 1)) (pow (sin eps) 2)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (+ (* -1/2 (sin eps)) (* 2 (/ (pow (cos eps) 2) (sin eps)))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2)))))) (pow (sin eps) 2)))))))) (+ (/ 1 (sin eps)) (+ (/ (cos eps) (sin eps)) (/ (* (+ (sin eps) (* 2 (* (cos eps) (sin eps)))) (- (cos eps) 1)) (pow (sin eps) 2))))))) 1)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (* (cos eps) (pow (sin eps) 2)))) (pow (sin eps) 3))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (+ (* x (- (+ (* -1 (* (cos eps) (pow (sin eps) 2))) (+ (* -1/6 (* (cos eps) (pow (sin eps) 2))) (+ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (sin eps) (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps)))))))) 1)) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (* (cos eps) (pow (sin eps) 2)))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (pow (sin eps) 2))) (+ (* x (+ (* -1/2 (pow (sin eps) 3)) (+ (* 2 (* (pow (cos eps) 2) (sin eps))) (+ (* x (+ (* -1 (* (cos eps) (pow (sin eps) 2))) (+ (* -1/6 (* (cos eps) (pow (sin eps) 2))) (+ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (sin eps) (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps))))))))) (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))))) (* (cos eps) (pow (sin eps) 2))))) (pow (sin eps) 3))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))))
#s(approx (pow (sin x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (* 2 (* (cos eps) (sin eps))))) (pow (sin eps) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (+ (* 2 (* (cos eps) (sin eps))) (* x (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))))))) (pow (sin eps) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* x (+ (sin eps) (+ (* 2 (* (cos eps) (sin eps))) (* x (+ 1 (+ (cos eps) (+ (* -1 (pow (sin eps) 2)) (+ (* x (+ (* -1 (* (cos eps) (sin eps))) (+ (* -1/2 (sin eps)) (+ (* -1/3 (* (cos eps) (sin eps))) (* -1/6 (sin eps)))))) (pow (cos eps) 2))))))))) (pow (sin eps) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (sin eps)))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (cos eps))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* -1/2 (* x (sin eps)))))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin eps) (* x (+ 1 (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (- (* -1/6 (cos eps)) 1/6))))))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* 2 (* x (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))))) (pow (sin eps) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* x (+ (* 2 (* (cos eps) (sin eps))) (* x (+ (* -1 (pow (sin eps) 2)) (+ (* x (+ (* -1 (* (cos eps) (sin eps))) (* -1/3 (* (cos eps) (sin eps))))) (pow (cos eps) 2)))))) (pow (sin eps) 2))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (+ eps x)) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (+ eps x)) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (pow (sin x) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (+ eps x)))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (+ eps x)) 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (- eps (* -1 x))) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (- eps (* -1 x))))) (pow (sin (- eps (* -1 x))) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (- eps (* -1 x))) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (- eps (* -1 x))) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (- eps (* -1 x))))) (pow (sin (- eps (* -1 x))) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (- eps (* -1 x))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (- eps (* -1 x))) 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2)))))
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#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))) (+ (* -1/3 (* (pow (cos x) 2) (sin x))) (+ (* 1/24 (pow (sin x) 3)) (+ (* (cos x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (* (sin x) (+ (* -1/3 (pow (cos x) 2)) (+ (* 1/12 (pow (sin x) 2)) (* 1/4 (pow (sin x) 2)))))))))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x)))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2)))))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (* (cos x) (pow (sin x) 2)))) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))))) (* (cos x) (pow (sin x) 2))))) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (pow (sin x) 2))) (+ (* eps (+ (* -1/2 (pow (sin x) 3)) (+ (* 2 (* (pow (cos x) 2) (sin x))) (+ (* eps (+ (* -1 (* (cos x) (pow (sin x) 2))) (+ (* -1/6 (* (cos x) (pow (sin x) 2))) (+ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))))))) (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))))) (* (cos x) (pow (sin x) 2))))) (pow (sin x) 3))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (pow (sin x) 2))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (sin x) 2)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (sin x) 2)) (+ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))) (* (cos x) (sin x))))) (pow (sin x) 2)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* 2 (pow (sin x) 2)) (+ (* eps (+ (* 2 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (sin x) 2)) (+ (* -1/2 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* -1/3 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (pow (cos x) 2))))) (* (cos x) (sin x))))) (pow (sin x) 2)))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (* 2 (sin x))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (cos x)))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (* 2 (sin x)) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* 2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))))) (pow (sin x) 2))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (+ (* eps (+ (* 2 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (sin x) 2)) (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/3 (* (cos x) (sin x))))) (pow (cos x) 2)))))) (pow (sin x) 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos 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 (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
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#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) #s(hole binary64 (/ (- (pow (sin (- x (* -1 eps))) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (- x (* -1 eps))))) (pow (sin (- x (* -1 eps))) 2)))))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) #s(hole binary64 (- (pow (sin (- x (* -1 eps))) 3) (pow (sin x) 3))))
#s(approx (pow (sin (+ eps x)) 3) #s(hole binary64 (pow (sin (- x (* -1 eps))) 3)))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) #s(hole binary64 (+ (* (sin x) (+ (sin x) (sin (- x (* -1 eps))))) (pow (sin (- x (* -1 eps))) 2))))
#s(approx (+ (sin x) (sin (+ eps x))) #s(hole binary64 (+ (sin x) (sin (- x (* -1 eps))))))
#s(approx (pow (sin (+ eps x)) 2) #s(hole binary64 (pow (sin (- x (* -1 eps))) 2)))

Outputs
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))) (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps))
(+.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 (sin.f64 x) eps)))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
x
eps
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (sin.f64 eps))
(sin.f64 eps)
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
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(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps x) (+.f64 eps x))) (cos.f64 (+.f64 (+.f64 eps x) (+.f64 eps x)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (sin.f64 eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (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 (.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 (.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 eps eps) x) #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 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 -1/2 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 eps x) #s(literal 1/12 binary64)) #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 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (sin.f64 eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (sin.f64 eps)) #s(literal 2 binary64) (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (-.f64 (fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (pow.f64 (sin.f64 eps) #s(literal -2 binary64))) (/.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (sin.f64 eps)) #s(literal 2 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (+.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) x (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps))) (+.f64 (fma.f64 (+.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 eps) (sin.f64 eps))) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) x (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
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#s(approx (pow (sin (+ eps x)) 3) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
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#s(approx (sin (+ eps x)) (sin.f64 eps))
#s(approx (sin (+ eps x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ eps x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (sin (+ eps x)) (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 (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (pow (sin x) 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (pow (sin x) 3) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (pow (sin x) 3) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 13/120 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow (sin x) 3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -41/3024 binary64) (.f64 x x) #s(literal 13/120 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (+.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 eps)) x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (sin.f64 (+.f64 eps eps))) (sin.f64 eps)) x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
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#s(approx (+ (sin x) (sin (+ eps x))) (sin.f64 eps))
#s(approx (+ (sin x) (sin (+ eps x))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ (sin x) (sin (+ eps 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) (sin (+ eps x))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.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 (pow (sin (+ eps x)) 2) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x (sin.f64 (+.f64 eps eps))) x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) #s(literal -4/3 binary64)) x (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (sin.f64 (+.f64 eps eps))) x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sin (+ eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)))
#s(approx (sin (+ eps x)) (sin.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (pow (sin x) 3) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))))
#s(approx (+ (sin x) (sin (+ eps x))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (pow (sin (+ eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (-.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sin (+ eps x)) 3) (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 3 binary64)))
#s(approx (sin (+ eps x)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 2 binary64))))
#s(approx (+ (sin x) (sin (+ eps x))) (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (pow (sin (+ eps x)) 2) (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (cos.f64 x) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx eps eps)
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* (* (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 (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (.f64 eps (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
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(pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 3 binary64) (.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 #s(literal 3 binary64) (.f64 (cos.f64 x) (sin.f64 x)))) (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))) eps (/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 3 binary64) (.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))))) eps (/.f64 (.f64 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#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) eps))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) eps (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) eps (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))))) eps (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (sin.f64 x) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (sin.f64 x) (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -4/3 binary64)) (cos.f64 x)))))) eps (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))))) eps (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))))) eps (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps))
#s(approx (pow (sin (+ eps x)) 3) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
#s(approx (pow (sin (+ eps x)) 3) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sin (+ eps x)) 3) (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 2 binary64) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)))) eps (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sin (+ eps x)) 3) (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x) (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) eps (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))))) eps (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))) eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (sin (+ eps x)) (sin.f64 x))
#s(approx (sin (+ eps x)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ eps x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin (+ eps x)) (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 x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (*.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 (cos.f64 x) (sin.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (*.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 (+.f64 x x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1/2 binary64) (neg.f64 (.f64 (cos.f64 x) (sin.f64 x)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (*.f64 (cos.f64 x) (sin.f64 x))) (sin.f64 (+.f64 x x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (+ (sin x) (sin (+ eps x))) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
#s(approx (+ (sin x) (sin (+ eps x))) (fma.f64 (cos.f64 x) eps (*.f64 #s(literal 2 binary64) (sin.f64 x))))
#s(approx (+ (sin x) (sin (+ eps x))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 #s(literal 2 binary64) (sin.f64 x))))
#s(approx (+ (sin x) (sin (+ eps x))) (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 (*.f64 #s(literal 2 binary64) (sin.f64 x))))
#s(approx (pow (sin (+ eps x)) 2) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps (sin.f64 (+.f64 x x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (pow (sin (+ eps x)) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -4/3 binary64)) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (sin.f64 (+.f64 x x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (* (+ (* (+ (* (* (cos 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 (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#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) (neg.f64 (.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) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#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 (cos.f64 x) #s(literal 1/6 binary64)))))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (-.f64 (pow.f64 (sin.f64 (-.f64 x (neg.f64 eps))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sin (+ eps x)) 3) (pow.f64 (sin.f64 (-.f64 x (neg.f64 eps))) #s(literal 3 binary64)))
#s(approx (sin (+ eps x)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2)) (fma.f64 (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)) (sin.f64 x) (pow.f64 (sin.f64 (-.f64 x (neg.f64 eps))) #s(literal 2 binary64))))
#s(approx (+ (sin x) (sin (+ eps x))) (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (pow (sin (+ eps x)) 2) (pow.f64 (sin.f64 (-.f64 x (neg.f64 eps))) #s(literal 2 binary64)))

eval86.0ms (1.1%)

Memory: -35.3MiB live, 108.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 23 998 to 2 620 computations (89.1% saved)

prune32.0ms (0.4%)

Memory

25.9MiB live, 72.5MiB allocated; 3ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	590	23	613
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	594	28	622

Accuracy

100.0%

Counts

622 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	28.2%	(/.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))))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.8%	(.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))
	98.4%	#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (cos.f64 x) eps))
▶	99.6%	#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)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#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))
	98.2%	#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))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.5%	#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 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.5%	#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))
	98.5%	#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 -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.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))) eps))
	97.3%	#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))
	97.2%	#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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
▶	97.2%	#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))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
▶	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 1 763 to 1 133 computations (35.7% saved)

series50.0ms (0.6%)

Memory

-27.8MiB live, 68.7MiB allocated; 34ms collecting garbage

Counts

47 → 241

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (- (* (* eps x) 1/12) 1/2) (* (* eps x) 1/12) (* eps x) 1/12 1/2 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* 1/12 eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps))
7.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (- (* (* eps x) 1/12) 1/2) (* (* eps x) 1/12) (* eps x) 1/12 1/2 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* 1/12 eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps))
6.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (- (* (* eps x) 1/12) 1/2) (* (* eps x) 1/12) (* eps x) 1/12 1/2 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* 1/12 eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps))
6.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (- (* (* eps x) 1/12) 1/2) (* (* eps x) 1/12) (* eps x) 1/12 1/2 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* 1/12 eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps))
5.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (- (* (* eps x) 1/12) 1/2) (* (* eps x) 1/12) (* eps x) 1/12 1/2 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* 1/12 eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps))

rewrite207.0ms (2.6%)

Memory

38.0MiB live, 263.8MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	932	7802
0	989	7619
1	5590	7619
0	8258	7236

Stop Event

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

Counts

288 → 441

Calls

Call 1

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

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

eval83.0ms (1%)

Memory: 5.4MiB live, 153.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 26 543 to 3 035 computations (88.6% saved)

prune34.0ms (0.4%)

Memory

-15.6MiB live, 78.3MiB allocated; 5ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	534	11	545
Fresh	6	14	20
Picked	2	3	5
Done	0	3	3
Total	542	31	573

Accuracy

100.0%

Counts

573 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	28.2%	(/.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))))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.8%	(.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))
	98.4%	#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (cos.f64 x) eps))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#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))
✓	98.4%	#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))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) 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))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) 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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
▶	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) eps (cos.f64 x)) eps))
	98.5%	#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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.3%	#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))
	97.2%	#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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
✓	97.2%	#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))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))) eps))
▶	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
✓	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 2 189 to 1 388 computations (36.6% saved)

series90.0ms (1.1%)

Memory

18.7MiB live, 69.5MiB allocated; 8ms collecting garbage

Counts

62 → 282

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* -1/2 x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (- (* 1/12 eps) (/ 1/2 x)) (* 1/12 eps) 1/12 (/ 1/2 x) 1/2 (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (* (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (* x x)) (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) (/ eps x) (* (* eps eps) -1/144))
7.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* -1/2 x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (- (* 1/12 eps) (/ 1/2 x)) (* 1/12 eps) 1/12 (/ 1/2 x) 1/2 (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (* (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (* x x)) (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) (/ eps x) (* (* eps eps) -1/144))
7.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* -1/2 x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (- (* 1/12 eps) (/ 1/2 x)) (* 1/12 eps) 1/12 (/ 1/2 x) 1/2 (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (* (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (* x x)) (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) (/ eps x) (* (* eps eps) -1/144))
6.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* -1/2 x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (- (* 1/12 eps) (/ 1/2 x)) (* 1/12 eps) 1/12 (/ 1/2 x) 1/2 (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (* (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (* x x)) (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) (/ eps x) (* (* eps eps) -1/144))
6.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps)) (cos x) x eps (* (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) eps) (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) -1/2 (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* -1/2 x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) x) 1) (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (- (* 1/12 eps) (/ 1/2 x)) (* 1/12 eps) 1/12 (/ 1/2 x) 1/2 (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 (* eps eps) (* (* eps eps) 1/24) 1/24 (* -1/6 eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (* (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (* x x)) (+ (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) 1/12) (+ (* (/ eps x) 1/12) (* (* eps eps) -1/144)) (/ eps x) (* (* eps eps) -1/144))

rewrite277.0ms (3.4%)

Memory

-7.5MiB live, 275.4MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1027	9504
0	1097	9286
1	6043	9286
0	8098	8743

Stop Event

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

Counts

344 → 539

Calls

Call 1

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

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

eval135.0ms (1.7%)

Memory: 18.2MiB live, 208.7MiB allocated; 24ms collecting garbage
Compiler: Compiled 45 967 to 4 204 computations (90.9% saved)

prune45.0ms (0.6%)

Memory

-7.0MiB live, 93.6MiB allocated; 7ms collecting garbage

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	689	7	696
Fresh	2	18	20
Picked	3	2	5
Done	0	6	6
Total	694	33	727

Accuracy

100.0%

Counts

727 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	28.2%	(/.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))))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.8%	(.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))
	98.4%	#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (cos.f64 x) eps))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#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))
✓	98.4%	#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))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) 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))
	97.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) 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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) eps (cos.f64 x)) eps))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.3%	#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))
	97.2%	#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))
	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
✓	97.2%	#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))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))) eps))) x #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/12 binary64) eps) x) #s(literal 1/2 binary64)) x))) x #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
✓	96.5%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 3 436 to 1 237 computations (64% saved)

regimes47.0ms (0.6%)

Memory

-29.9MiB live, 63.4MiB allocated; 4ms 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 (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/12 binary64) eps) x) #s(literal 1/2 binary64)) x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #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 (+ ( (* (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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) 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)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 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)) (+.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 (fma.f64 (.f64 #s(approx (sin x) 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 #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)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (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 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) eps (cos.f64 x)) 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 eps x) #s(literal 1/12 binary64)) #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)) (.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)) (.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 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) 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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 #s(approx (* (cos x) eps) 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 #s(approx (+ ( 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) 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 (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 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (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))))

Outputs

#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))

Calls

3 calls:

20.0ms	eps
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.5%)

Memory

34.4MiB live, 80.3MiB allocated; 4ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

3 calls:

13.0ms	x
11.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes37.0ms (0.5%)

Memory

-30.8MiB live, 66.5MiB allocated; 6ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

12.0ms	eps
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes60.0ms (0.7%)

Memory

-1.9MiB live, 44.8MiB allocated; 2ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

37.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	eps
10.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes33.0ms (0.4%)

Memory

8.2MiB live, 54.1MiB allocated; 3ms 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 (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/12 binary64) eps) x) #s(literal 1/2 binary64)) x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #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 (+ ( (* (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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) 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)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 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)) (+.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 (fma.f64 (.f64 #s(approx (sin x) 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 #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)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 x x)))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (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))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (/ (- (pow (sin (+ eps x)) 3) (pow (sin x) 3)) (+ (* (sin x) (+ (sin x) (sin (+ eps x)))) (pow (sin (+ eps x)) 2))) (*.f64 (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 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) eps (cos.f64 x)) 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 eps x) #s(literal 1/12 binary64)) #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)) (.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)) (.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 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/144 binary64))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) 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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes74.0ms (0.9%)

Memory

-0.8MiB live, 63.6MiB allocated; 98ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	x
10.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.4%)

Memory

-24.6MiB live, 70.6MiB allocated; 9ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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:

13.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.4%)

Memory

11.1MiB live, 57.5MiB allocated; 2ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.3%)

Memory

-2.8MiB live, 48.6MiB allocated; 3ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.3%)

Memory

-12.5MiB live, 34.3MiB allocated; 2ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.3%)

Memory

-1.0MiB live, 45.1MiB allocated; 4ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.7%	1	`eps`
97.7%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory

45.3MiB live, 45.3MiB allocated; 0ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

regimes17.0ms (0.2%)

Memory

-11.0MiB live, 35.3MiB allocated; 2ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.2%)

Memory

-14.3MiB live, 34.6MiB allocated; 4ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-16.2MiB live, 31.0MiB 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 (- (sin (+ x eps)) (sin x)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/12 binary64) eps) x) #s(literal 1/2 binary64)) x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #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 (+ ( (* (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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) 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)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (- (* (* eps x) 1/12) 1/2) x) (* -1/2 eps)) #s(approx (* (- (* 1/12 eps) (/ 1/2 x)) (* x x)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 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)) (+.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))

Outputs

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

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

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`x`
97.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

-29.9MiB live, 17.6MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-1.8%)

Threshold costs -0b (-1.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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
96.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.5%	1	`x`
96.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations515.0ms (6.4%)

Memory

-19.9MiB live, 586.4MiB allocated; 71ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 714 to 170 computations (76.2% saved)

preprocess100.0ms (1.3%)

Memory: 35.2MiB live, 175.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 1 472 to 378 computations (74.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze82.0ms (1%)

sample5.1s (63.4%)

explain108.0ms (1.3%)

preprocess91.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite142.0ms (1.8%)

eval15.0ms (0.2%)

prune7.0ms (0.1%)

series60.0ms (0.7%)

rewrite240.0ms (3%)

eval86.0ms (1.1%)

prune32.0ms (0.4%)

series50.0ms (0.6%)

rewrite207.0ms (2.6%)

eval83.0ms (1%)

prune34.0ms (0.4%)

series90.0ms (1.1%)

rewrite277.0ms (3.4%)

eval135.0ms (1.7%)

prune45.0ms (0.6%)

regimes47.0ms (0.6%)

regimes37.0ms (0.5%)

regimes37.0ms (0.5%)

regimes60.0ms (0.7%)

regimes33.0ms (0.4%)

regimes74.0ms (0.9%)

regimes34.0ms (0.4%)

regimes30.0ms (0.4%)

regimes27.0ms (0.3%)

regimes24.0ms (0.3%)

regimes24.0ms (0.3%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

derivations515.0ms (6.4%)

preprocess100.0ms (1.3%)

end0.0ms (0%)

Profiling