Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze62.0ms (0.7%)

Memory

-9.2MiB live, 35.1MiB allocated; 11ms 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)

sample6.0s (71.6%)

Memory

-147.3MiB live, 6 328.0MiB allocated; 2.5s collecting garbage

Samples

2.9s	26 864×	0	invalid
902.0ms	5 097×	1	valid
293.0ms	3 159×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sin: 653.0ms (24.6% of total)

const: 533.0ms (20.1% of total)

ival-fabs: 280.0ms (10.5% of total)

ival-add: 278.0ms (10.5% of total)

ival-sub: 230.0ms (8.7% of total)

ival-mult: 226.0ms (8.5% of total)

adjust: 200.0ms (7.5% of total)

ival-<: 161.0ms (6.1% of total)

ival-and: 79.0ms (3% of total)

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

Bogosity

explain109.0ms (1.3%)

Memory

32.0MiB live, 170.1MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
225	-	1	(3.9089751813664304e-167 8.95669140276429e-169)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
4	-	0	-	`(sin.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(sin.f64 x)`
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	224	5
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	225	2
-	0	29

Precision

1.0

Recall

0.9911894273127754

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	225	2	0
-	0	3	26

Precision?

0.9869565217391304

Recall?

1.0

Freqs

test

number	freq
0	31
1	222
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	344×	1	valid
9.0ms	166×	0	valid
3.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 15.0ms (36.3% of total)

adjust: 14.0ms (33.9% of total)

ival-add: 8.0ms (19.4% of total)

ival-sub: 4.0ms (9.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess92.0ms (1.1%)

Memory

-25.2MiB live, 73.1MiB allocated; 9ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB 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))

rewrite151.0ms (1.8%)

Memory

-8.9MiB live, 318.2MiB allocated; 26ms 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))))

eval25.0ms (0.3%)

Memory: -0.8MiB live, 33.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune7.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB 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
▶	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.8%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	60.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.4%	(.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))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 287 to 198 computations (31% saved)

series51.0ms (0.6%)

Memory

8.0MiB live, 95.8MiB allocated; 28ms collecting garbage

Counts

26 → 156

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	eps	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
14.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
5.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
5.0ms	x	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
4.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))

rewrite240.0ms (2.9%)

Memory

-21.2MiB live, 186.7MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	3691
0	706	3483
1	4228	3483
0	8334	3329

Stop Event

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

Counts

182 → 304

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))
(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))))) (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))))))
(/.f64 (-.f64 (.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))))))
(-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(sin.f64 eps)
eps
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal -1 binary64) (sin.f64 x))
(fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)) (sin.f64 x))
(-.f64 (sin.f64 x) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (PI.f64)) (*.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 x))
(sin.f64 (+.f64 x (PI.f64)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 x)
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
#s(literal -1/2 binary64)
#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)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))))) (*.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))))) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (+.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) x (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (sin.f64 eps))
#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sin.f64 eps) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (sin.f64 eps) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps))) (.f64 x x) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 eps)) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (cos.f64 eps) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (cos.f64 eps)) #s(literal 1/5040 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (neg.f64 x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
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#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
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#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 eps x (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 eps x)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (cos.f64 eps) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) (cos.f64 eps)) #s(literal -1/6 binary64) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal 1/120 binary64) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (cos.f64 x) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (cos eps) (sin x)) (sin.f64 x))
#s(approx (* (cos eps) (sin x)) (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps) (sin.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))

eval57.0ms (0.7%)

Memory: 12.8MiB live, 71.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 373 to 1 613 computations (85.8% saved)

prune63.0ms (0.8%)

Memory

-2.8MiB live, 42.6MiB allocated; 9ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	420	13	433
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	422	20	442

Accuracy

100.0%

Counts

442 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
▶	99.2%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
	99.1%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.1%	(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	60.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.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))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
✓	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	31.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))))))
▶	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 912 to 608 computations (33.3% saved)

series85.0ms (1%)

Memory

-11.0MiB live, 82.2MiB allocated; 6ms collecting garbage

Counts

36 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) (* eps eps) -1/720 (sin x) (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2))
15.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) (* eps eps) -1/720 (sin x) (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2))
5.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) (* eps eps) -1/720 (sin x) (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2))
5.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) (* eps eps) -1/720 (sin x) (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2))
5.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* (* eps eps) -1/720) (* eps eps) -1/720 (sin x) (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (* (* eps eps) -1/2) (sin x)) (* (* eps eps) -1/2))

rewrite187.0ms (2.2%)

Memory

-17.4MiB live, 267.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	4702
0	744	4494
1	4224	4494
0	8302	4202

Stop Event

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

Counts

204 → 310

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.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 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))) (.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.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 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (cos.f64 eps) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x))) x))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 #s(literal 1/4320 binary64) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/4320 binary64) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #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 (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120960 binary64) (.f64 x x) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.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 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (+ eps x)) (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64))) 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 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64)))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 (fma.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal -1/240 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (* (* (* eps eps) -1/2) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 1/10080 binary64) (.f64 #s(literal -1/240 binary64) (.f64 eps eps))) (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (+ eps x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (* (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 (* (* (* eps eps) -1/2) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal -1 binary64))) x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
#s(approx (* (* eps eps) -1/720) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* -1/6 eps) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (* (* eps eps) -1/2) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))))
#s(approx (* (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x)))
#s(approx (+ (* (* (* eps eps) -1/720) (sin x)) (* 1/24 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (* -1/2 (+ eps x)) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) 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 #s(literal -1/6 binary64) (cos.f64 x))) (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 #s(literal -1/6 binary64) (cos.f64 x) (/.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 #s(literal -1/6 binary64) (cos.f64 x))) (*.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 #s(literal -1/6 binary64) (cos.f64 x) (/.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 #s(literal -1/6 binary64) (cos.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (neg.f64 eps) (fma.f64 #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 (* -1/2 (+ eps x)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 #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))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))

eval110.0ms (1.3%)

Memory: 18.5MiB live, 110.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 16 735 to 1 913 computations (88.6% saved)

prune77.0ms (0.9%)

Memory

-3.0MiB live, 52.1MiB allocated; 44ms collecting garbage

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	430	10	440
Fresh	2	8	10
Picked	2	3	5
Done	1	4	5
Total	435	25	460

Accuracy

100.0%

Counts

460 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) eps) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
	99.1%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.2%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
	99.1%	(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	60.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	60.4%	(.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))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
▶	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
▶	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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 (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
✓	97.9%	#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))
	97.9%	#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) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))) eps))
▶	5.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
✓	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	31.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))))))
✓	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 1 294 to 861 computations (33.5% saved)

series50.0ms (0.6%)

Memory

0.4MiB live, 92.0MiB allocated; 12ms collecting garbage

Counts

52 → 269

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (sin x) (+ (* (* eps eps) -1/720) 1/24) (* eps eps) -1/720 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
8.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (sin x) (+ (* (* eps eps) -1/720) 1/24) (* eps eps) -1/720 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
8.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (sin x) (+ (* (* eps eps) -1/720) 1/24) (* eps eps) -1/720 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
7.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (sin x) (+ (* (* eps eps) -1/720) 1/24) (* eps eps) -1/720 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
6.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (sin x) (+ (* (* eps eps) -1/720) 1/24) (* eps eps) -1/720 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* -1/6 eps) -1/6 (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))

rewrite220.0ms (2.6%)

Memory

9.6MiB live, 237.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1079	7946
0	1140	7415
1	6406	7395
0	8086	6936

Stop Event

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

Counts

321 → 491

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 eps)
eps
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(.f64 (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 eps eps)))
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(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
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(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps) (.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps)) (.f64 (cos.f64 x) (cos.f64 x))) (-.f64 (.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps) (.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps) (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps) (cos.f64 x)))))
(fma.f64 #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x))
(fma.f64 eps #s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x))
(+.f64 (.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))) (sin.f64 (+.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))) #s(literal 2 binary64))
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(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) (cos.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
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(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 x eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(+.f64 x eps)
(+.f64 eps x)
(sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x eps) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (fma.f64 x x (*.f64 (+.f64 x eps) x))))
(-.f64 (+.f64 x eps) x)
(+.f64 eps (-.f64 x x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
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#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (cos.f64 eps) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) #s(literal 1/120 binary64)) (.f64 x x) (.f64 #s(literal -1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/12 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/240 binary64)) (.f64 x x) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))) x))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/10080 binary64)) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/240 binary64)))) (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/12 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))) x))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/10080 binary64)) (.f64 x x))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) eps))
#s(approx (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) eps)) x))
#s(approx (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) eps) #s(literal -1/6 binary64))) (.f64 x x) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) eps)) x))
#s(approx (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 #s(literal -1/5040 binary64) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)))) (.f64 x x))) (.f64 x x) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) eps)) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))) x))
#s(approx (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (.f64 x x))) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (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 (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.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 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 (+ (* (* -1/2 (+ eps x)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* x x) -1/2) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) 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) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) 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) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64))) 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) (sin (+ x (/ (PI) 2)))) (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) (sin (+ x (/ (PI) 2)))) (+.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) (sin (+ x (/ (PI) 2)))) (+.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) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (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 (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (.f64 eps (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (fma.f64 #s(literal -1/2 binary64) eps (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal 1/12 binary64) eps)) x (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))) x (.f64 (fma.f64 #s(literal -1/2 binary64) eps (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) eps (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) eps (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal 1/12 binary64) eps)) x (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))) x)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (neg.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (sin (+ x (/ (PI) 2))) (cos.f64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) (.f64 (.f64 (sin.f64 x) eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(approx (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (+.f64 x eps)) (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 (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) 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) (sin (+ x (/ (PI) 2)))) (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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (pow.f64 x #s(literal -1 binary64))) x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) x)))) eps))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (*.f64 (cos.f64 x) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* (* (* (sin x) (+ (* (* eps eps) -1/720) 1/24)) eps) eps) (* -1/2 (sin x))) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
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#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval87.0ms (1%)

Memory: 6.5MiB live, 254.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 22 749 to 2 801 computations (87.7% saved)

prune34.0ms (0.4%)

Memory

-6.6MiB live, 87.0MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	559	13	572
Fresh	8	5	13
Picked	3	2	5
Done	1	6	7
Total	571	26	597

Accuracy

100.0%

Counts

597 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.4%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) eps) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
	99.2%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
✓	60.4%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	33.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.3%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.0%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
	60.4%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
✓	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
✓	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #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 (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(approx (+ ( (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
✓	97.9%	#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))
	97.9%	#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) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))) eps))
✓	5.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
✓	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	31.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (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))) (pow.f64 eps #s(literal 3 binary64))))))
✓	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 2 215 to 864 computations (61% saved)

regimes41.0ms (0.5%)

Memory

-9.3MiB live, 90.9MiB allocated; 15ms collecting garbage

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x 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 (*.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 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) 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)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(approx (+ ( (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.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 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (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))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) eps) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (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))) (pow.f64 eps #s(literal 3 binary64))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) eps) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))

Outputs

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

Calls

3 calls:

16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
12.0ms	eps
10.0ms	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)

regimes22.0ms (0.3%)

Memory

1.2MiB live, 48.1MiB allocated; 3ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

regimes36.0ms (0.4%)

Memory

-21.0MiB live, 25.6MiB allocated; 2ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x 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 (*.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 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) 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)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(approx (+ ( (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.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 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.3%)

Memory

-24.6MiB live, 21.0MiB allocated; 4ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	eps
4.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-30.3MiB live, 15.9MiB allocated; 10ms 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)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x 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 (*.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 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) 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)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 #s(literal -1/6 binary64) eps)) eps #s(approx (cos x) #s(approx (+ ( (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))) 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:

8.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Accuracy

Total -59.3b remaining (-3879.6%)

Threshold costs -59.3b (-3879.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

simplify45.0ms (0.5%)

Memory

-4.6MiB live, 40.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	302
1	141	294
2	230	286
3	473	284
4	1777	284

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations342.0ms (4.1%)

Memory

-11.1MiB live, 414.5MiB allocated; 40ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 302 to 100 computations (66.9% saved)

preprocess64.0ms (0.8%)

Memory: 8.7MiB live, 150.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 648 to 238 computations (63.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze62.0ms (0.7%)

sample6.0s (71.6%)

explain109.0ms (1.3%)

preprocess92.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite151.0ms (1.8%)

eval25.0ms (0.3%)

prune7.0ms (0.1%)

series51.0ms (0.6%)

rewrite240.0ms (2.9%)

eval57.0ms (0.7%)

prune63.0ms (0.8%)

series85.0ms (1%)

rewrite187.0ms (2.2%)

eval110.0ms (1.3%)

prune77.0ms (0.9%)

series50.0ms (0.6%)

rewrite220.0ms (2.6%)

eval87.0ms (1%)

prune34.0ms (0.4%)

regimes41.0ms (0.5%)

regimes22.0ms (0.3%)

regimes18.0ms (0.2%)

regimes36.0ms (0.4%)

regimes16.0ms (0.2%)

regimes24.0ms (0.3%)

regimes11.0ms (0.1%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify45.0ms (0.5%)

derivations342.0ms (4.1%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling